The largest and the second largest angles of a triangle are in the ratio of 13 : 12 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 13 : 12 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$120^°$

B $108^°$

C$100^°$

D$102^°$

Nithin ? Aug 13 '2022 at 11:9

Correct answer is: \(102^°\)

Explanation:

Smallest angle

\(= (13+12)\times\frac{20}{100}=5\)

Ratio of angles = 13 : 12: 5

Sum of smallest and second largest angles

\(=\frac{180 \times(12 +5)}{(13+12+5)}\)

\(=\frac{180 \times 17}{30}\)

\(= 102^o\)

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Correct answer is: \(102^°\) Explanation: Smallest angle \(= (13+12)\times\frac{20}{100}=5\) Ratio of angles = 13 : 12: 5 Sum of smallest and second largest angles \(=\frac{180 \times(12 +5)}{(13+12+5)}\) \(=\frac{180 \times 17}{30}\) \(= 102^o\) Nithin ? answered Aug 13 '2022 at 11:9 All Comments

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