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?
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:
\(7x + 2x +5x + 6x = 360^∘\)
\(\implies 20x = 360^∘\)
\(\implies x = \frac{360}{20} = 18\)
\(\text{Therefore, Required answer =} \Large \frac{15x}{2}\)
\(\text{Required answer}=\frac{15 \times 18}{2}=135 ^{\circ}\)
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