Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

In the figure shows, ∠ A C E is an exterior angle of Δ A B C . If C D → ∥ B A → , m ∠ 1 = 2 ( m ∠ 2 ) , and m ∠ A C E = 117 ° .Find measure of ∠ 1 . ______________

To determine

To find:

The measure of ∠1.

The following figure shows the given diagram.

CD→∥BA→, m∠1=2(m∠2), and m∠ACE=117°.

Property used:

Measure of exterior angle of a triangle will be equal to the sum of the measure of two nonadjacent interior angles.

Calculation:

Equation for sum of three angles of triangle is as follows.

Check out a sample textbook solution.

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Elementary Geometry for College St...

In the figure shows, ∠ A C E is an exterior angle of Δ A B C . If C D → ∥ B A → , m ∠ 1 = 2 ( m ∠ 2 ) , and m ∠ A C E = 117 ° .Find measure of ∠ 1 . ______________

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