What is the measure of angle 4?

C) 108 degrees

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

cosine

step-by-step explanation:

its an acute right triangle

step-by-step explanation: