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$102^°$

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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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