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The complement of an angle which measures D degrees, where D must be less than 90, is 90 - D.
96 TM!!!
We have no idea where the points D, E, and F are. A sketch would have really helped us.
In parallelogram ABCD, angle A and angle D are adjacent or consecutive angles and are supplementary, meaning the sum of their measures is equal to 180 degrees. Angles A and C are opposite angles and have the same measure. These are some important properties of parallelograms. So to find the measure of angle C, you first have to find the measure of angle A. You can do that with a little algebra. First, set the expressions for the measures of angles A and D equal to 180 and solve for x. Then plug that value for x into the expression for the measure of angle A, which is the same as the measure for angle C. 5x + 30 + x = 180 6x + 30 = 180 6x = 150 x = 25 Therefore, 5x + 30 = 5(25) + 30 = 125 + 30 = 155 The measure of angle C is 155.