Question

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?

Answer 1

Answer:

○ A. $\displaystyle 56°\:and\:56°$

Step-by-step explanation:

Since these two angles are alternate interior angles, we set both expressions equal to each other:

[−6x + 20]° = [−8x + 8]°

+ 6x - 8 + 6x - 8

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$\displaystyle \frac{12}{-2} = \frac{-2x}{-2} \\ \\ -6 = x$

Plug this back into both expressions above to get 56° each.

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