Answer: C) 108 degrees
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Explanation:
Angle 4 is an exterior angle which corresponds to the remote interior angles of 33 degrees and 75 degrees. Through the remote interior angle theorem, we can add the remote interior angles to get the exterior angle
So we simply add 33 and 75 to get 33+75 = 108
If you chose not to use this theorem, then you can find angle three by using the fact that all three angles of the triangle must add to 180 degrees. So,
33+75+(angle 3) = 180
108+(angle 3) = 180
108+(angle 3) - 108 = 180 - 108
angle 3 = 72 degrees
Then use the fact that angle 3 and angle 4 are supplementary
(angle 3) + (angle 4) = 180
72 + (angle 4) = 180
72 + (angle 4) - 72 = 180 - 72
angle 4 = 108 degrees
either way, we get the same answer
