Angle C is an acute angle.
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51 degrees
The interior angles of a quadrilateral always add up to 360 degrees. Therefore, 68+51+116=235 360-235=125 degrees.
39
The supplement of a 51° angle is 129° since the sum of the angles that form the supplementary angles is 180°.
Complimentary angles add to 90 degrees. So, x + y = 90. Also, we know the difference is 12 degrees. So, x - y = 12. (Note that it really doesn't matter which angle corresponds to x and y. The way it is set up here is x is the larger angle.) Now solve the system: x + y = 90 x - y = 12 2x = 102 x = 51 y = 90 - 51 = 39 So the two angles are 51 degrees and 39 degrees.