Solving for the measurements of Complementary Angles
Answer:
and

Explanation:
Recall that Angles that are supplementary to each other add up to
.
Let
be the measure of the supplementary angle.
If an angle is
more than its supplementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are supplementary,
.
Solving for
:

Since the other angle measures
, we can plug in the value of
to find the measure of the angle.
Evaluating
:

The measure of the angles are
and
