2 years ago

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

Mathematics

1 answer:

Misha Larkins [42]2 years ago

3 0

9514 1404 393

Answer:

x = 14

Step-by-step 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

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