Section 1.6 Pairs of Angles

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Presentation transcript:

Section 1.6 Pairs of Angles 1/18 Section 1.6 Pairs of Angles

2/18 Adjacent Angles Adjacent Angles are two angles that share a common vertex & side (ray), but have NO common interior points. (they have the same vertex, but don’t overlap) 2 1

3/18 Not Adjacent Angles 2 1 2 1

Vertical (Opposite) Angles 4/18 Vertical (Opposite) Angles 2 Vertical Angles are two angles that share a common vertex & whose sides form two pairs of opposite rays. 1 3 4

5/18 Linear Pair A Linear Pair of angles are two adjacent angles whose non-common sides are opposite rays. 1 2

Discuss Angles 6/18 Vertical angles? Adjacent angles? 2 Linear pair? 1 Adjacent angles not a linear pair? 2 1 3 4 5

7/18 Angle Relationships 2 1 3 4

8/18 Angle Relationships 2 1 3 4 What is the value of x?

9/18 Angle Relationships 2 1 3 4 What is the value of x?

10/18 Hmm…. Can you do this?

Complementary Angles 11/18 Complementary angles are two angles whose sum is 90. The two angles are called complements. 35o 1 55o 2 A B

12/18 Complementary Angles

Supplementary Angles 2 1 13/18 Supplementary angles are two angles whose sum is 180. These angles are called supplements. 2 1 130o 50o X Y

14/18 A Good Question….. Are all linear pairs supplementary angles?

15/18 A Good Question….. Are all supplementary angles linear pairs?

16/18 More Questions Given that angle G is a supplement of angle H and the measure of angle G is 82°, find the measure of angle H.

17/18 More Questions A &  B are supplementary. m  A is 5 times m  B. Find m  A & m  B.

18/18 Homework 1.6 P. 47 1, 8 – 31, 34 – 36, 47, 48, 51, 52, 58, 59