Question

c. explain how you can use the triangle sum theorem to calculate the measure of ∠upm.

Explanation:

Step1: Recall triangle - sum theorem

The sum of the interior angles of a triangle is 180°.

Step2: Identify the triangle

Suppose the triangle containing ∠UPM has other two angles ∠A and ∠B.

Step3: Set up the equation

∠UPM+∠A + ∠B=180°.

Step4: Solve for ∠UPM

∠UPM = 180°-(∠A + ∠B).

Answer:

Subtract the sum of the other two interior - angles of the triangle containing ∠UPM from 180° to find the measure of ∠UPM.