Question

Find the angle measure x in the figure​

Answer 1

x = 25

Explanation:

Make use of the fact that the sum of angle measures in a triangle is 180°.

(2x+15)° +(3x+5)° +(x+10)° = 180°

6x +30 = 180 . . . collect terms, divide by °

x +5 = 30 . . . . . . divide by 6

x = 25 . . . . . . . . . subtract 5

_____

Check

This value of x makes the angle measures be ...

A = (x+10)° = 35°

B = (3x+5)° = 80°

C = (2x+15)° = 65°

These angles total 180°.