The ratio between the angles of a quadrilateral is 7 : 2 : 5 : 6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral?

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The ratio between the angles of a quadrilateral is 7 : 2 : 5 : 6 respectively. What is the sum of double the smallest angle and half the largest angle of the quadrilateral?

A$162^∘$

B$198^∘$

C$99^∘$

D$135^∘$

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Correct answer is: $135^∘$ Explanation: $7x + 2x +5x + 6x = 360^∘$ $\implies 20x = 360^∘$ $\implies x = \frac{360}{20} = 18$ $\text{Therefore, Required answer =} \Large \frac{15x}{2}$ $\text{Required answer}=\frac{15 \times 18}{2}=135 ^{\circ}$ Nithin ? answered Aug 12 '2022 at 22:18 All Comments

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