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  • 02-03-2017
  • Mathematics
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What is the measure of the smallest angle?
A. 52°
B. 61°
C. 67°
D. 69°

What is the measure of the smallest angle A 52 B 61 C 67 D 69 class=

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Аноним Аноним
  • 02-03-2017
We know,sum of all the angles in a triangle is equal to 180
So, 2x + 3x - 11 + 2x + 9 = 180
7x - 2 = 180
7x = 180 + 2
x = 182 / 7
x = 26

Now, magnitude of angles = 2x = 2(26) = 52  [ Smallest ]
3x - 11 = 3(26) - 11 = 78 - 11 = 67  [ Largest ]
2x +9 = 2(26) + 9 = 52 + 9 = 61

In short, Your Answer would be Option A) 52

Hope this helps!
Answer Link

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