Question

Given ( m∠ AOC = 108° ), ( m∠ AOB = 3x + 4° ), ( m∠ BOC = 8x ), and ( m∠ BOC = 28° ), find ( x ).

A. 8
B. 10
C. 12
D. 15

Answer 1

To find the value of x, you can set up an equation using the given angle measurements and solve for x.

Step-by-step explanation:

To find the value of x, we can set up an equation using the given angle measurements:

m∠ AOC = m∠ AOB + m∠ BOC

108° = (3x + 4°) + (28°)

Combine like terms:

108° = 3x + 32°

Subtract 32° from both sides:

76° = 3x

Divide both sides by 3:

x = 25.33°

However, x must be an integer, so the closest integer value to 25.33° is 25°.

Therefore, x = 25°.