Question

Angle P and angle Q are supplementary. Angle P measures 5x and angle Q measures 3x – 12. Find the measure of angle P.

Answer 1

x will equal 25 that should give you a hint

Answer 2

Two angles are called supplementary angles if the sum of two angles is 180 degrees and they form a linear pair.

Here we are given than angle P and angle Q are supplementary angles.

Sum of angle P and angle Q will be 180.

Angle P measures 5x and angle Q measures 3x – 12

Adding the two angles,

$5x+(3x-12) =180$

$8x-12=180$

$8x=180+12$

$8x=192$

x=24

Angle P = 5x

Angle P =5*24 =120

Answer: Angle P is 120 degrees.