Question

The angles A, B, C and D of a quadrilateral ABCD have measures in the ratio 2 : 4 : 5 : 7. Find the measures of these angles.

Answer 1

Let the measures of the angles be 2x, 4x, 5x and 7x

$\Rightarrow 2x+4x+5x+7x={360}^{\circ }$

$\Rightarrow 18x={360}^{\circ }\Rightarrow x={20}^{\circ }$

$\Rightarrow \angle A={40}^{\circ },\angle B={80}^{\circ },\angle C={100}^{\circ },\angle D={140}^{\circ }$