Scholar Zone Summer Math | Grade 7 Teacher's Guide

Math magazine I Small Group (cont.) WEEK 2 I DAY 3

Where Math Gets Real

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Where Math Gets Real

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Angle Relationships When angles share a ray, they are called angle pairs. Knowing the relationships between angle pairs can help you find unknown measures of angles. Where Math Gets Real

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YOUR TURN ✎ Use these definitions to classify angle pairs and find missing angle measures in the questions below.

*with white behind logo Complementary angles: Angles whose measures have a sum of 90° (a right angle) Supplementary angles: Angles whose measures have a sum of 180° (a straight line) Where Math Gets Real

Vertical angles: Angles opposite one another, formed when two lines intersect; these angles are always congruent (they have the same degree measure) Adjacent angles: Angles that have a common side and a common vertex (corner point) and do not overlap

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m

66°

3A. Which pairs of angles shown above are vertical?

1A. Write and solve an equation to find the measure of angle m .

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3B. Which pairs of angles are adjacent?

1B. Are the angles above complementary, supplementary, vertical, and/or adjacent?

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3C. Angle b is 65°. What is the measure of angle a ?

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3D. What is the measure of angle c ?

2. Angle s is complementary to 38°. Write and solve an equation to find the measure of angle s .

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3E. What is the measure of angle d ?

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38°

3F. What is the sum of the measures of angles a , b , c , and d ?

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JANUARY 16, 2017 > p. 14 Moon Math > ANGLE PROPERTIES

Student Handbook, page 52

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58 Scholar Zone Summer: Math

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