Question

52)
The measure of a complement of an angle is 5 times the measure of the angle. What is the measure of the angle?

a) 15 deg.
b) 45 deg.
c) 60 deg.
d) 75 deg.

Answer 1

a

Answer 2

Complementary angles total up to 90 degrees, so:

\(\Large \color{purple}{\rightarrow 5x + x = 90 }\)

\(\Large \color{purple}{\rightarrow 6x = 90 }\)

\(\Large \color{purple}{\rightarrow x = 15}\)

So, the two angles are 15 and 75.

Answer 3

so is it 15 or 75?

Answer 4

15