Question

M∠1 = 80 – x; and

m∠2 = 90 – 2x.
Determine the value of x for which r ∥ s if?


90


30


70


10

Answer 1

`10`

Explanation:

m∠2 and m∠1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:

[80 - x]° = [90 - 2x]°

+ x° + x°

______________

80° = [90 - x]°

-90° - 90°

__________

−10° = [−x]°

`10° = x`

I am joyous to assist you anytime.