What are the measures of the two angles in the figure below?

a. 46 and 44

b. 67 and 23

c. 52 and 38

d. 25 and 75

Both angles form a complementary angle, which means that their sum is equal 90 degree.

5x+7 +3x+11=90    Combine like terms

8x+18=90               Subtract 18 in both sides

8x =72                    Divide by 8 in both sides to isolate x

x=9

As you have the value of x, you can find the value of each expression

5(9)+7=  52                                3(9)+11=38

The correct answer is letter C, 52 and 38.