High School

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

∠A = 8x + 74
∠B = 2x + 56

What is the value of angle ∠B when x = 10?

A. 56 degrees
B. 66 degrees
C. 76 degrees
D. 86 degrees

Answer :

Final answer:

Substituting x = 10 into the equation for angle B (2x+56) gives us a result of 76 degrees.

Explanation:

The question is asking for the value of the angle measurement ∠B when x = 10. The equation given for ∠B is 2x+56. Therefore, we simply substitute x = 10 into the equation to find the value of ∠B. So, ∠B = 2(10) + 56 = 76 degrees. Thus, the correct answer is (c) 76 degrees.

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