Two complementary angles have measures (5x) degrees and (7x) degrees. What is the value of x and the two angle measures?

*
2 points
A) x = 8, 40 degrees and 56 degrees
B) x = 10, 50 degrees and 60 degrees
C) x = 12, 60 degrees and 72 degrees
D) x = 15, 75 degrees and 105 degrees

1 answer

Given: Two angles are complementary, so their sum is 90 degrees.

Therefore,
5x + 7x = 90
12x = 90
x = 90/12
x = 7.5

The angles will be:
5(7.5) = 37.5 degrees
7(7.5) = 52.5 degrees

Therefore, x = 7.5, 37.5 degrees and 52.5 degrees

Therefore, the answer is not provided among the options.