SOLUTION: The three angles 𝐴, 𝐵, and 𝐶 of the figure shown below are given by (7⁢𝑥−40)∘, (5⁢𝑥)∘, and (8⁢𝑥)∘, respectively. What is the value of 𝑥 ?

Algebra ->  Triangles -> SOLUTION: The three angles 𝐴, 𝐵, and 𝐶 of the figure shown below are given by (7⁢𝑥−40)∘, (5⁢𝑥)∘, and (8⁢𝑥)∘, respectively. What is the value of 𝑥 ?      Log On


   

Question 1210553: The three angles 𝐴, 𝐵, and 𝐶 of the figure shown below are given by (7⁢𝑥−40)∘, (5⁢𝑥)∘, and (8⁢𝑥)∘, respectively. What is the value of 𝑥 ?
Answer by greenestamps(13296) About Me  (Show Source):
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The sum of the angle measures of the three angles of any triangle is 180 degrees. Solve the problem using basic algebra.

(7x-40) + (5x) + (8x) = 180
20x-40 = 180
20x = 220
x = 220/20 = 11

ANSWER: 11