Question

Examine the diagram.

Look at all three pictures to answer the following questions.

1. What equation can be used to find the value of x?
2. What is the measure of ∠B? m∠B= ___°

Answer 1

answers to both questions

Answer 2

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

Using the information in the picture, 132 is an outside angle and x and (3x-24) are the two opposite inside angles.

Setting up the equation you would have: 132 = x + (3x-24)

Now solve for x:

132 = x + (3x-24)

Simplify:

132 = 4x -24

Add 24 to both sides:

156 = 4x

Divide both sides by 4:

x = 156/4

x = 39