One angle is four times as large as another angle. If the angles are complementary, find the number of degrees

Question

One angle is four times as large as another angle. If the angles are complementary, find the number of degrees in the smaller angle.

Answer 1

x + 4x = 90
5x = 90
x = 18 degress

Answer 2

If be the angle, we are given x + 4x = 90 (complementary angles)

That means 5x = 90 and x = 90 / 5 = 18

So, the smaller angle is 18 degrees.

Answer 3

Complimentary means they total to 90.

4x+x=90
5x=90
x=18

The angles are 18 degrees and 72 degrees.

Answer 4

let a be one angle, and b be the other angle

complementary means two angles add to 90 degrees

a = 4b
a + b = 90

4b + b = 90
5b = 90
b = 18 degrees

b = 18(4) = 72 degrees

Answer 5

let the smaller angle be x
let the bigger angle be y
y = 4x
complementary angles means their sum should be 90

x + y = 90
substitute y = 4x
x + 4x = 90
5x = 90
x = 90/5 = 18 degrees

Answer 6

let x = the smaller angle
4x= bigger angle
5x = 90
x= 18
4x = 72
the two angles are 18 and 72

Answer 7

let one of the angle be x and the other y
x+y=90
4x+x=90
5x=90
x=18
the other angle y=72
the angles are 18 degrees and 72 degrees.

Answer 8

Complementary means adds up to 90.

So its x + 4x = 90

Therefore x (small angle) is 18 degrees.

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