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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 = ?

Respuesta :

MrRoyal

Answer:

[tex]PQR = 140[/tex]

Step-by-step explanation:

Given

[tex]XYZ = 2X[/tex]

[tex]PQR = 8X - 20[/tex]

Required

Find PQR

Since both angles are supplementary, we have:

[tex]XYZ + PQR = 180[/tex]

This gives:

[tex]2X + 8X - 20 = 180[/tex]

[tex]10X - 20 = 180[/tex]

Collect Like Terms

[tex]10X = 20 + 180[/tex]

[tex]10X = 200[/tex]

Divide through by 10

[tex]X = 20[/tex]

Substitute 20 for X in [tex]PQR = 8X - 20[/tex]

[tex]PQR = 8 * 20 -20[/tex]

[tex]PQR = 140[/tex]

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