The measure of the compliment of an angle is 12 degrees more than twice the measure of the angle. find the measure of both angles

The measure of angles are 64 degrees and 26 degrees

Solution:

Let "x" be one of the complement angle

Let "y" be the other angle

Complementary angles are two angles whose sum is 90 degrees

Therefore,

x + y = 90 eqn 1

The measure of the complement of an angle is 12 degrees more than twice the measure of the angle

measure of complement angle = 12 + twice the measure the measure of other angle

x = 12 + 2y eqn 2

Solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

12 + 2y + y = 90

12 + 3y = 90

3y = 78

Substitute y = 26 in eqn 2

x = 12 + 2(26)

x = 12 + 52

Thus the measure of angles are 64 degrees and 26 degrees

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