finleyfreeman2 finleyfreeman2
  • 14-04-2021
  • Mathematics
contestada

Angle P and angle Q are supplementary angles. If m(angle)p is 21 degrees less than twice the measure of
Angle Q , find the measure of each angle.

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htubaydno
htubaydno htubaydno
  • 15-04-2021

Answer:

Angle Q: 67 degrees

Angle P: 113 degrees

Step-by-step explanation:

You can write an equation to solve this. We know that angle P + angle Q = 180. If we substitute angle Q into the second equation we get angle P = 2*angle Q -21.

Plugging that knowledge into the first equation, we get 2*angle Q-21 + angle Q =180. Simplifying, we get 3* angle Q -21 = 180. Adding 21 to both sides gives us 3*angle Q = 201, dividing by 3 gives us angle Q = 67. 180-67= 113 so angle P is 113.

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