Question

find the measures of the remaining angles. An angle of a parallelogram measures 65°

Answer 1

We know that opposite angles in parallelogram are equal. So two angles are 65 & 65. The sum of angles should be 360 degrees. 65 + 65 = 130. 360 - 130 = 230 degrees. sum of other two angles is 230 degrees. These angles are equal.
So 2 x one angle (x) = 230
                            x    =230/2
                            x    =  115 degrees

    So the angles are 65 degrees, 115 degrees, 65 degrees, 115 degrees

Answer 2

Step-by-step explanation:

We know that opposite angles in parallelogram are equal. So two angles are 65 & 65. The sum of angles should be 360 degrees. 65 + 65 = 130. 360 - 130 = 230 degrees. sum of other two angles is 230 degrees. These angles are equal.

So 2 x one angle (x) = 230

x =230/2

x = 115 degrees

So the angles are 65 degrees, 115 degrees, 65 degrees, 115 degrees