Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4...
Transcript of Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4...
![Page 1: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/1.jpg)
![Page 2: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/2.jpg)
Two Angles are COMPLEMENTARY if:
• Their measures add to 90 degree.
complementarynon-adjacent
43
complementaryadjacent
2
1
50o
40o32o
58o
![Page 3: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/3.jpg)
Two angles are SUPPLEMENTARY if
• Their measures add to 180 degrees.
SupplementaryNON-Adjacent
43
SupplementaryAdjacent
21
74o 106o145o
35o
![Page 4: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/4.jpg)
If the m< 1 = 37 degrees and m<2 = 90 degrees, find the following:
M < 5 ____________
M< 4 ____________
M<3 ____________
![Page 5: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/5.jpg)
If the m< 1 = 37 degrees and m<2 = 90 degrees, find the following:
M < 5 ____________
M< 4 ____________
M<3 ____________M<1 + m<2 + m<3 = 180 so 37 + 90 + m<3 = 180 m<3 = 53o
M<1 + m<5 = 180 so 37 + m<5 = 180 m<5 = 143o
M<4 + m<5 = 180 so 143 + m<4 = 180 m<5 = 37o
90o
37o
![Page 6: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/6.jpg)
Given: M<2 = 28 degrees, and m<1 = m<2
Find:
M<4 _____________
M<3 _____________
![Page 7: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/7.jpg)
Given: M<2 = 28 degrees, and m<1 = m<2
Find:
M<4 _____________
M<3 _____________
M<1 + m<4 = 180 so 28 + m<4 = 180 m<4 = 152o
m<2 + m<3 = 180 so 28 + m<3 = 180 m<3 = 152o
28o
28o
![Page 8: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/8.jpg)
![Page 9: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/9.jpg)
51o
24o
m<a = 180 – 24 - 51
24o (vertical to <b)
m<d = 180 – 24 - 51
51o
(c vertical to <f)
105o 105o
32o
81o
m<c = 180 – 81 - 32
67o (vertical to <c)81o
(d vertical to <a)
67o 32o
(vertical to <b)
![Page 10: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/10.jpg)
![Page 11: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/11.jpg)
Corresponding Angles
• Pairs of Corresponding Angles are congruent.
<1 ~ <5
<3 ~ <7
<2 ~ <6
<4 ~ <8
![Page 12: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/12.jpg)
Alternate Interior Angles
Pairs of Alternate Interior Angles are congruent.
<4 ~ <5
<3 ~ <6
![Page 13: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/13.jpg)
Alternate Exterior Angles
Pairs of Alternate Exterior Angles are congruent.
<1 ~ <8
<2 ~ <7
![Page 14: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/14.jpg)
Consecutive Interior Angles
Pairs of
Consecutive Interior
Angles are supplementary.
+ =180 (<3 ~ <5)
+ =180 (<4 ~ <6)
![Page 15: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/15.jpg)
State the Vocabulary and Rule that justifies the claim:
![Page 16: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/16.jpg)
State the Vocabulary and Rule that justifies the claim:
If //, Corresponding Angles are congruent.
If //, Alternate Interior Angles are congruent.
If //, Alternate Exterior Angles are congruent.
If //, Same-side Interior Angles
are Supplementary.
![Page 17: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/17.jpg)
Given: m<u = 105o
Find the measure of the other 7 angles.
A t B
u
s
D
C
v
x
y
w
z
![Page 18: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/18.jpg)
Given: m<w = 77o
Find the measure of the other 7 angles.
A t B
u
s
D
C
v
x
y
w
z
77o
77o
77o
77o
103o
103o
103o
103o
![Page 19: Two Angles are · 2018. 3. 29. · •Their measures add to 90 degree. complementary non-adjacent 4 3 complementary adjacent 2 1 50o 40o 32o 58o. Two angles are SUPPLEMENTARY if •Their](https://reader034.fdocuments.in/reader034/viewer/2022051804/5fefb66463479869a7099d6d/html5/thumbnails/19.jpg)
118o
62o
118o118o
118o
62o 62o
62o