Question

Recall that two angles are complementary if the sum of their measures is​ 90°. Find the measures of two complementary angles if one angle is forty dash fourforty-four times the other angle.

Answer 1

Assume that the two angles are x and y.

We are given that:
One angle is 44 times the other angle
This means that:
x = 44y .......> equation I

We are also given that:
The two angles are complementary
This means that:
x + y = 90 ......> equation II

Substitute with equation I in equation II and solve for y as follows:
x + y = 90
44y + y = 90
45y = 90
y = 90/45
y = 2 degrees

Now, substitute with the y in equation I to get x as follows:
x = 44y
x = 44*2
x = 88 degrees

Based on the above calculations, the two angles you are looking for are 2 and 88.

hope this helps :)