1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side)...

5
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°

Transcript of 1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side)...

Page 1: 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.

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°

Page 2: 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.

Types of Angles

Complementary angles- two adjacent angles that add up to 90°

Supplementary angles- two adjacent angles that add up to 180°

Page 3: 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.

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

Page 4: 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.

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°

Page 5: 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.

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°