Question

An angle measures eleven more than four times a number. Its compliment is

two more than three times the number. What is the measure of each angle?

Answer 1

35 and 55 degrees

Explanation:

Let's use n for the number

Angle 1 = 4n+11

Angle 2 = 3n+2

Since it states that these angles are complimentary, they add up to 90 degrees

So we can write an equation using what is given.

Angle 1 + Angle 2 = 90

4n+11+3n+2 = 90

Combine like terms

7n+13 = 90

Subtract 13 from each side

7n = 77

n = 11

Now we plug eleven in for n and solve for the measure of each angle.

Angle 1 = 4(11)+11

Angle 1 = 44+11

Angle 1 = 55

Angle 2 = 3(11)+2

Angle 2 = 33+2

Angle 2 = 35