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I need help ASAP! PLEASE!

The angle measures of triangle RST are represented by 2x, x + 14, and x - 38. What are the angle measures of triangle RST?
Question 25

I need help ASAP! PLEASE! The angle measures of triangle RST are represented by 2x-example-1
User AxelOmega
by
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2 Answers

4 votes
Since you know that the angles in a triangle add up to 180°, you can solve for x by making it an equation:
2x + x + 14 + x - 38 = 180
4x - 24 = 180
+ 24
4x = 204
÷ 4
x = 51
Now you can substitute x in to the angles
51 × 2 = 102°
51 + 14 = 65°
51 - 38 = 13°
I hope this helps!
User Anil Sivadas
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6.2k points
3 votes
First you would need to solve x.
2x+x+14+x-38=180
4x-24=180
4x=204
x=51
Now plug in the x for all three angle measures.
2(51)=102 degrees
51+14=65 degrees
51-38=13 degrees
Final answer is 102 degrees, 65 degrees, 13 degrees
User Joakim Johansson
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6.1k points