madisonhill17 madisonhill17
  • 01-11-2021
  • Mathematics
contestada

Given:

m∠QPS is a straight angle.
m∠RPS = 6x+11∘
m∠QPR=7x+143∘

Find angle RPS

Respuesta :

devishri1977
devishri1977 devishri1977
  • 01-11-2021

Answer:

Step-by-step explanation:

∠RPS + ∠QPR = ∠QPS

6x + 11 + 7x + 143 = 180

6x + 7x + 11 + 143 = 180

13x  + 154 = 180

        13x = 180 - 154

         13x = 26

             x = 26/13

x = 2

∠RPS = 6x + 11

         = 6*2 + 11

         = 12 + 11

         = 23

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