Question

Calculate the value of the exterior angle

A. 10

B. 95

C. 3.57

D. 1.4

Thank you!

Answer 1

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