An angle measures 16° less than the measure of a complementary angle. what is the measure of each angle?

Make a system of equation

For an instance, x represents the first angle and y represents the second angle. Make a system of equation for the problem.

"The first angle measures 16° less than the second angle" could be written

⇒ x = y - 16° (first equation)

The two angles are complementary angles, that means the sum of the two angles is equal to 90° or we could write it as

⇒ x + y = 90° (second equation)

Solve the system of equation

We work using substitution method, change x with y-16 in the second equation

x + y = 90°

y - 16° + y = 90°

2y - 16° = 90°

2y = 90° + 16°

2y = 106°

y = 106°/2

y = 53°

The second angle measurement is 53°

Substitute 53 to y in either of both equations

x = y - 16°

x = 53° - 16°

x = 37°

The first angle measurement is 37°

= 90°/2

= 45°

x = 45° - 16°

x = 29°

y = 45° + 16°

y = 61°

61° and 29° i guess.