Two angles are complementary. One angle is ten less than four times the other angle. Find the measure of the larger angle

A. 20

B. 70

C. 38

D. 142

B. 70

Step-by-step explanation:

For one or two angles are complementary angle (s), they have to equal 90°.

So, we need to find the larger angle, but what about the other?

Let x be the other angle and y be the angle we are looking for

x + y = 90

Lets look for x first, since one angle is ten less than four times the angle we are looking for or visa versa, we must:

y = 4x - 10

For an exchange, lets take out the y variable for another x variable:

So now we should have x + 4x - 10 = 90

Combine like terms and do cross equation:

x + 4x - 10 = 90

5x - 10 = 90

Add 10 to both sides:

5x = 100

100/5 = 20

So x=20

Now for y which is what we are looking for,

y = 4x - 10

Since x is 20, plug it in

y = 80 - 10

y=70 is our larger angle