If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle? Explain your reasoning.

If we knew that two angles were complementary and were given the measure of one of those angles, then we can find the measure of the other angle by subtracting the given measure of one angle from 90

Solution:

Given that,

If you knew that two angles were complementary and were given the measure of one of those angles, would you be able to find the measure of the other angle

Yes we can find the measure of another angle

Complementary angles:

Complementary angles are two angles whose sum is 90 degrees

Therefore, if measure of one angle is given, then we can find the measure of another angle

Measure of another angle = 90 - measure of one angle

Example:

If x and y are complementary angles

Given that measure of angle x is 45 degrees

Then we can say,

According to complementary angles definition

x + y = 90

45 + y = 90

y = 90 - 45

y = 45

Thus measure of other angle y is found to be 45 degrees