Question

The angle measurements in the diagram are represented by the following expressions.

∠A = 5x + 34∘ ∠B = 2x + 76∘

Solve for x and then find the measure of ∠A:

Answer 1

Answer:

∠A = 69

Step-by-step explanation:

A and B are supplementary angles which means that their sum is 180°

Thus A + B = 180

5x + 34 + 2x + 76 = 180

7x + 110 = 180

7x = 180 - 110

7x = 70

x = 70/10

x = 7

A = 5x + 34

   = 5(7) + 34

   = 35 + 34

   = 69

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