sydneysans06
sydneysans06 sydneysans06
  • 28-04-2022
  • Mathematics
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find the measure of angle R

please help!

find the measure of angle R please help class=

Respuesta :

Аноним Аноним
  • 28-04-2022

Answer:

68

Step-by-step explanation:

The shape is 5 sides polygon.

Sum of interior angles of a 5 sided polygon = 540,

7x + 4 + 8x + 3 + 4x + 8 + 10x - 4 + 6x + 4 = 540

7x + 8x + 4x + 10x + 6x + 4 + 3 + 8 + 4 - 4 = 540

35x + 4 + 3 + 8 = 540

35x + 15 = 540

35x = 540 - 15

35x = 525

Divide 35 on both sides,

x = 525 / 35

x = 15

Angle R = 4x + 18

Substitute the value of x,

Angle R = 4 ( 15 ) + 8

             = 60 + 8

Angle R = 68

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