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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Finding Unknown Angle Measures
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Exercise 10 Page 394

The measures of supplementary angles add up to 180^(∘).

Example Solution: ∠ EAD and ∠ BAD

Practice makes perfect
Before we take a look at the given diagram, let's start by defining supplementary angles.

Supplementary Angles

Two positive angles whose measures have a sum of 180^(∘).

Now, let's consider the given diagram.

Since ∠ EAD is a right angle, its measure is 90^(∘). As points E, A, and B all lie on the same line, m∠ EAB = 180^(∘). As angles ∠ EAD and ∠ BAD share a side AD, they are adjacent angles. The sum of their measures equals 180^(∘), the measure of ∠ EAB. Therefore, angles ∠ EAD and ∠ BAD are supplementary angles.

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