Question

Find the value of x if m∠ihg=162°, m∠ihk=(4x+4)°, and m∠khg=(8x+2)°.

A. x=8
B. x=10
C. x=12
D. x=14

Answer 1

To find the value of x, we need to set up and solve an equation based on the sum of the angles in a triangle.

Step-by-step explanation:

To find the value of x, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can set up an equation with the given angles:

(4x + 4) + (8x + 2) + 162 = 180

Simplifying and solving for x:

12x + 168 = 180

12x = 12

x = 1

Therefore, the value of x is not given as an option. None of the options A, B, C, or D are correct.