bonniep1001 bonniep1001
  • 02-01-2020
  • Mathematics
contestada

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

Respuesta :

rani01654 rani01654
  • 09-01-2020

Answer:

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)

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