Your friend is making a pattern for quilt pieces. her pattern is a right angle with two acute angles that complementary. the measure of one of the angles is to be 12° more than half the measure of the other angle. find the measure of each angle of the triangle. show your work using the format above.

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x ----> the measure of angle 1

y ----> the measure of angle 2

we know that

-----> equation A

----> equation B

Substitute equation B in equation A and solve for x

Find the measure of y

therefore

The measure of angle 1 is 52° and the measure of angle 2 is 38°