Question

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= °

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

The measure and equation that should be used is 39 and 132 = x + (3x-24)

Calculation of the equation used:

Since angle B is x degrees. The exterior angle to angle C is 132 degrees.

Here the equation that should be used is shown below.

132 = x + (3x-24)

132 = 4x -24

156 = 4x

x = 39

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