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Question 93
The measures of the four angles of a quadrilateral are in the ratio 1:2:4:5. What is the measure of the biggest angle?
Solution
Let the angles in the quadrilateral be $$x , 2x , 4x$$ and $$5x$$
Sum of the angles in the quadrilateral = 360°
=> $$x + 2x + 4x + 5x = 12x = 360$$°
=> $$x = \frac{360}{12} = 30$$°
$$\therefore$$ Biggest angle = $$5 \times 30 = 150$$°
=> Ans - (D)
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