antonypaz8591 antonypaz8591
  • 19-05-2021
  • Mathematics
contestada

Rays PQ and PS are perpendicular to each other.

What is the measure of LRPS plzzzzz

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abidemiokin
abidemiokin abidemiokin
  • 22-05-2021

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

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