1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side)...
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Transcript of 1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side)...
1.4 Pairs of Angles
Adjacent angles- two angles with a common vertex and common side. (Side by side)
Linear pair- a pair of adjacent angles that make a straight line
3+ 4=180°
Types of Angles
Complementary angles- two adjacent angles that add up to 90°
Supplementary angles- two adjacent angles that add up to 180°
Types of Angles
Vertical angles- opposite angles formed by two intersecting lines. Vertical angles are congruent.
1 and 3 are vertical angles 1 3 2 and 4 are vertical angles 2 4
123
4
Example
What is the value of x in each problem?
Ex1) Ex2)
8x + 13 + 27 = 180 x + 15 + 83 = 180
27°
(8x+13)°
(x+15)°
83°
Example
What is the value of x in each problem?
Ex3) Ex2)
302+20+3x+1 = 360 2x – 7 = 85
302°
(3x+1)°(2x-7)° 85°
20°