Question

In AOPQ, m2O = (2x – 5)º, m P = (3x – 8)°, and mZQ = (10x – 17).
What is the value of x?

Answer 1

9514 1404 393

Answer:

x = 14

Explanation:

The sum of angles in a triangle is 180°:

∠O +∠P +∠Q = 180°

(2x -5)° +(3x -8)° +(10x -17)° = 180°

15x -30 = 180 . . . . . divide by °, collect terms

x -2 = 12 . . . . . . . . . divide by 15

x = 14 . . . . . . . . . . . .add 2