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Answers:

  • x = 9
  • angle QRT = 18 degrees
  • angle TRS = 72 degrees

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Explanation:

The smaller angles QRT and TRS combine to the angle QRS which is 90 degrees.

(angle QRT) + (angle TRS) = angle QRS

(2x) + (8x) = 90

10x = 90

x = 90/10

x = 9

We'll then use this x value to find each angle

  • angle QRT = 2x = 2*9 = 18 degrees
  • angle TRS = 8x = 8*9 = 72 degrees

As a way to check the answer,

angle QRT + angle TRS = 18+72 = 90

so the answer is confirmed.

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