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10. The measures of the angles of the quadrilateralABCD are in the ratio 2:3 : 4:1. Find themeasures of each of the angles.​

Answer»

Answer:

The angles are 36°, 72°, 108° and 144°.

Step-by-step EXPLANATION:

Ratio --> 2:3:4:1

Let angles be 2x, 3x, 4x and x.

Now, by ASP (Angle Sum Property) of quadrilateral, sum of all angles in a quadrilateral is 360°.

So, x + 2x + 3x + 4x = 360°

=> 10X = 360°

∴ x = 360/10 => 36°

∴ 2x = 2(36) => 72°

∴ 3x = 3(36) => 108°

∴ 4x = 4(36) => 144°


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