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1.6 Angle Pair Relationships
Objectives:
(1) The student will be able to identify vertical
angles and linear pairs.
(2) The student will be able to identify
complementary and supplementary angles.
Toolbox:
Summary:
Vertical Angles – if the angles
sides form two pairs of opposite
rays.
Linear Pair – 2 adjacent angles
whose noncommon sides are
opposite rays.
Complementary Angles – if the
sum of their measures is 90°.
Supplementary Angles - if the
sum of their measures is 180°.
1.
2.
3.
4.
Are <1 and <2 a linear pair?
Are <4 and < 5 a linear pair?
Are <5 and <3 vertical angles?
Are <1 and <3 vertical angles?
5. Solve for x and y. Then find the angle
measures.
6. Given that <G is a supplement of <H and
m<G = 82°, find m<H.
7. Given that <U is a complement of <V,
and m<U = 73°, find m<V.
8. <T and <S are supplementary. The
measure of <T is half the measure of <S.
Find m<S.
9. <D and <E are complements and <D and
<F are supplements. If m<E is 4 times
m<D, find the measure of the three
angles.