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In △ABC, ∡A is 2 more than twice ∡B, and ∡C is 7 less than twice ∡B. What is the measure of each angle in △ABC?

 Feb 19, 2021
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A = 2 + 2B
C = 2B - 7

 

180 = 2 + 2B + B + 2B - 7

180 = 5B - 5

185 = 5B 

  37 = B 

 

A = 2 + 2B 

   = 2 + 2(37)

   = 76

 

C = 2B - 7

    = 2(37) - 7

    = 67

 

∡A = 76o , ∡B = 37o , and ∡C = 67o

 

Hope this helps :)

 Feb 19, 2021

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