The angles of a quadrilateral are in ratio of 3 : 5 : 9 : 7. The second largest angle of the quadrilateral is equal to the largest angle of a triangle. One of the angles of the triangle is $25^∘$. What is the value-of second largest angle of the triangle?

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The angles of a quadrilateral are in ratio of 3 : 5 : 9 : 7. The second largest angle of the quadrilateral is equal to the largest angle of a triangle. One of the angles of the triangle is $25^∘$. What is the value-of second largest angle of the triangle?

A$60^∘$

B$50^∘$

C$40^∘$

D$20^∘$

Nithin ? undefined

Correct answer is: \(50^o\)

Explanation:

Sum of ratios = 3 + 5 + 9 + 7 = 24

Second largest angle of quadrilateral = \(\frac{7}{24} \times 360 = 105 ^{\circ}\)

Largest angle of triangle
Therefore, Third angle of triangle = \(\frac{7}{24} \times 360 = 105 ^{\circ}\)

\(=180 ^{\circ} - 105 ^{\circ} - 25 ^{\circ}\)

\(= 50^∘ = \text{second largest angle of triangle.}\)

 

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Correct answer is: \(50^o\) Explanation: Sum of ratios = 3 + 5 + 9 + 7 = 24 Second largest angle of quadrilateral = \(\frac{7}{24} \times 360 = 105 ^{\circ}\) Largest angle of triangle Therefore, Third angle of triangle = \(\frac{7}{24} \times 360 = 105 ^{\circ}\) \(=180 ^{\circ} - 105 ^{\circ} - 25 ^{\circ}\) \(= 50^∘ = \text{second largest angle of triangle.}\)   Nithin ? answered undefined All Comments

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