Two angles are complementary angles if the sum of their measures is 90°. If the measure of the larger of the two complementary angles is 38° more than three times the measure of the smaller angle find the measures of the two angles

Answer:13 = Smaller Angle and 77 = Larger Angle

Step-by-step explanation: If the measure of the larger of the two complementary angles is 38 more than three times the measure of the smaller angle.

This tells us there are two angles.

A larger one A smaller one We then look for which angle is being compared to the other one.

"38 more than three times the measure of the smaller angle"

This tells us the smaller angle is the angle that being compared to thus it can be labeled as x.

Let x = the smaller angle

To find the larger angle we must write out all the modifications. This angle is 38 more than. To represent 38 more than we can say + 38 (more than indicating addition).

To represent three times the angle we can write 3x (three copies of x)

Thus ...

Let 3x+38 = the larger angle.

If both angles are complementary then they add to 90 so ...

x+3x+38=90 We can combine like terms to get ... 4x+38=90 Subtract 38 and we get 4x=52 and then Divide by 4 on both sides nd we get x=13. We then can substitute x=13 in and get 13 and 77