Question

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement
The measure of the angle is 36 degrees greater than its complement
What is the measure of the complement?
X

Answer 1

Using complementary angles concept, it is found that the measure of the complement is of 27º.

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• If two angles are complementary, their measures add to 90º, and thus, the complement of an angle x is given by 90 - x.
• The measure of an angle is 36 degrees greater than it's complement, thus, the measure of the angle is given found using the following equation:

$x = 90 - x + 36$

$2x = 126$

$x = \frac{126}{2}$

$x = 63$

The complement is: $90 - x = 90 - 63 = 27$.

The measure of the complement is of 27º.

A similar problem is given at brainly.com/question/11161460