Answers:
- x = 9
- angle QRT = 18 degrees
- angle TRS = 72 degrees
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Step-by-step 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.