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can someone explain the steps i need to do to complete this?

Can Someone Explain The Steps I Need To Do To Complete This class=

Sagot :

9514 1404 393

Answer:

  ∠PRS = 142°

Step-by-step explanation:

One can use the relationship between the exterior angle of a triangle and the remote interior angles. This lets you find x. Then evaluating the expression for angle PRS will give you the measure of the angle.

__

  (3x -8)° = 90° +(x +2)° . . . . exterior = sum of remote interior

  2x = 100 . . . . . . . . add 8-x

  x = 50 . . . . . . divide by 2

Then angle PRS is ...

  ∠PRS = (3x -8)° = (3·50 -8)°

  ∠PRS = 142°