Question : If three angles of a triangle are (2y + 40°), (5y – 60°), and (3y – 80°). Then what is the value of y?
Option 1: 30°
Option 2: 24°
Option 3: 28°
Option 4: 26°
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Correct Answer: 28°
Solution :
Given: Three angles of a triangle are (2y + 40°), (5y – 60°), and (3y – 80°).
We know that the sum of all three angles of a triangle is 180°.
Then, (2y + 40°) + (5y – 60°) + (3y – 80°) = 180°
⇒ 10y – 100° = 180°
⇒ 10y = 280°
⇒ y = 28°
Hence, the correct answer is 28°.
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