Pulse Pulse
  • 12-12-2023
  • Mathematics
Middle School

Angle QPS is supplementary to angle PSR.

Given:
- Angle QPS = (2x + 12)
- Angle PSR = x

Find the value of x.

Answer :

AL2006 AL2006
  • 09-11-2024

What does 'supplementary' mean ?
It means the two angles add up to 180 degrees.
So ...
(2x + 12) + (x) = 180

Eliminate parentheses: 2x + 12 + x = 180

Add up the 'x' terms: 3x + 12 = 180

Subtract 12 from each side: 3x = 168

Divide each side by 3 : x = 56 degrees

Answer Link

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