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

1 Answer

3 votes

Answer:


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

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