Question

if the measure of two exterior angles on the same side of the transversal are 3x and 7x+10, find the value of x

Answer 1

The value of x is 17°.

Explanation:

The two exterior angles on the same side of the transversal are always supplementary.

Therefore, if the measure of two exterior angles on the same side of the transversal are 3x and 7x+10, then we can write

3x + (7x + 10) = 180°

⇒ 10x = 180° - 10° = 170°

⇒ x = 17°

Therefore, the value of x is 17°. (Answer)