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

Question

Jesus King

Mathematics

11 October, 23:45

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

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Answers (1)

Know the Answer?

Slade Leach · Answer 1

The value of x is 17°.

Step-by-step 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)