The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

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The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the largest and the second largest angles. What is the sum of the smallest and the second largest angles?

A$80^∘$

B$60^∘$

C$100^∘$

D$90^∘$

Nithin ? Aug 12 '2022 at 22:10

Correct answer is: \(90^∘\)

Explanation:

If the largest and the second largest angles be 3x° and 2x°. respectively then, third angle = x

Threfore, x + 2x + 3x = 180°
Therefore, x = 30°

 

Therefore, Required sum = \(x + 2x = 3x = 90^∘\)

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Correct answer is: \(90^∘\) Explanation: If the largest and the second largest angles be 3x° and 2x°. respectively then, third angle = x Threfore, x + 2x + 3x = 180° Therefore, x = 30°   Therefore, Required sum = \(x + 2x = 3x = 90^∘\) Nithin ? answered Aug 12 '2022 at 22:10 All Comments

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