Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
6. Describing Pairs of Angles
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Exercise 4 Page 423

Look for symmetries.

See solution.

Practice makes perfect

When solving problems involving complementary angles, supplementary angles, and/or vertical angles, it is often useful to understand how the measures of the angles relate to each other.

Complementary Angles

The sum of the measures of two complementary angles always equals 90^(∘). If they are adjacent angles they must also form a right angle.

Supplementary Angles

The sum of the measures of two supplementary angles always equals 180^(∘). Therefore, if they are adjacent angles they also together form a straight angle.

Vertical Angles

Two angles that are vertical angles always have the same measure.