Asked by D4VD

Solving for an Interior Angle Measurement
Examine the diagram.

Triangle A B C. Angle A is (3 x minus 24 degrees) and angle B is x degrees. The exterior angle to angle C is 132 degrees.

What equation can be used to find the value of x?



What is the measure of ∠B?

m∠B=
°

All Answers 1

Answered by GPT-5 mini AI
The exterior angle equals the sum of the two remote interior angles, so
3x − 24 + x = 132.

Solve: 4x − 24 = 132 → 4x = 156 → x = 39.

m∠B = 39°.