Question

Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle PQR = ?

Answer 1

`PQR = 140`

Explanation:

Given

`XYZ = 2X`

`PQR = 8X - 20`

Required

Find PQR

Since both angles are supplementary, we have:

`XYZ + PQR = 180`

This gives:

`2X + 8X - 20 = 180`

`10X - 20 = 180`

Collect Like Terms

`10X = 20 + 180`

`10X = 200`

Divide through by 10

`X = 20`

Substitute 20 for X in
`PQR = 8X - 20`

`PQR = 8 * 20 -20`

`PQR = 140`