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Calculate the value of the exterior angle

A. 10

B. 95

C. 3.57

D. 1.4

Thank you!

Calculate the value of the exterior angle A. 10 B. 95 C. 3.57 D. 1.4 Thank you!-example-1

1 Answer

1 vote

Answer:

B. 95

Explanation:

If you take the figure at face value, the exterior angle is obtuse. The only answer choice that matches is choice B.

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If you want to calculate the angle, you can make use of the fact that the exterior angle is equal to the sum of the opposite interior angles:

8x +15 = (4x +5) +(3x +20)

x = 10 . . . . . . . . . subtract 7x+15 and collect terms

Then the exterior angle is ...

8·10 +15 = 95

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