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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 3 Page 391

Angles on the opposite sides of the intersection of two lines are vertical angles.

Classification: Vertical angles and supplementary angles.
Value of x: 25

Practice makes perfect
First, let's take a look at the given diagram.

Because the angles in the diagram are on opposite sides of an intersection of two lines, we know that the angles are vertical. The measures of these angles are equal to each other by the Vertical Angles Theorem. x = 90^(∘) Also, let's note that since the sum of the two angles is 90^(∘)+90^(∘)= 180^(∘), the two angles are supplementary.

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arrow_right Self-Assessment for Problem Solving p.393
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