Question:
Recall that two angles are complementary if the sum of their measures is 90degrees. Find the measures of two complementary angles if one angle is 6 degrees more than two times the other angle?
Answer:
The angles are: 28 and 62 degrees respectively
Explanation:
Let the two angles be x and y where the bigger angle is x.
So, we have:
---- Complementary angles
--- Given
Required
Find x and y
Substitute
in the first equation



Solve for 3y


Solve for y


Recall that:




So, the angles are: 28 and 62 degrees respectively