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ANSWER:

If the measure of ∠1 is twice the measure ∠2, find the measure of ∠7.

• Let x be the measure of ∠2. Since ∠1 is twice the measure of ∠2, the measure of ∠1 is 2x.

• Since ∠1 and ∠2 are linear pairs, they are supplementary.

• x + 2x = 180

• x + 2x = 180
• 3x = 180
• x = 180/3
• x = 60

• The value of x is 60.

Notice in the figure, ∠2 and ∠7 are alternate exterior angles. These angles are congruent, so ∠7 also measures 60°.

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