Question

The measure of an angle is 4 times the measure of its supplement. Find the measures of both angles.

Answer 1

The angles are 36° , 144°.

Explanation:

If sum of two angles add up to 180°, then they are called supplementary angles.

Let one angle be 'x' and its supplementary angle be y.

y = 4 times its supplementary

y = 4*x

y = 4x

x + y = 180 {supplementary angles}

• Substitute y = 4x in the above equation,

x + 4x = 180

• Combine like terms,

5x = 180

• Divide both sides by 5,

x = 180 ÷ 5

`\boxed{\bf x = 36}`

y = 4x

= 4*36

`\boxed{\bf y = 144}`

Answer: The angles are 36° , 144°