Question

In δopq, m∠o=(8x 13) ∘ , m∠p=(4x−12) ∘ , and m∠q=(x 10) ∘ . what is the value of x?

A) 10
B) 11
C) 12
D) 13

Answer 1

To find the value of x in triangle OPQ, set up and solve an equation using the given angle measurements. The value of x is 13.

Step-by-step explanation:

To find the value of x in triangle OPQ, we need to set up and solve an equation using the given angle measurements.

Given:

m∠o = (8x + 13)°

m∠p = (4x - 12)°

m∠q = (x + 10)°

Since the sum of angles in a triangle is 180°, we can write the equation:

(8x + 13) + (4x - 12) + (x + 10) = 180

Simplifying the equation:

13x + 11 = 180

Subtracting 11 from both sides:

13x = 169

Dividing both sides by 13:

x = 13

Therefore, the value of x is 13. Answer: D) 13