Question

7)The four angles of a quadrilateral are in the ratio 2:3:5:8. Find the angles?

Answer 1

First angle = 2/18×360°=40°

Second angle=3/18×360°=60°

Third angle=5/18×360°=100°

Fourth angle=8/18×360°=160°

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Answer 2

Given -

Four angles if quadrilateral given in ratio :-

• 2:3:5:8

To find -

• The angles of quadrilateral

Solution -

Let the angles of quadirlateral be 2x, 3x, 5x and 8x.

As we know,

The sum of angles of quadrilateral = 360°

↬ 2x + 3x + 5x + 8x = 360°

↬ 18x = 360°

↬ x = $\sf{\dfrac{360}{18}}$

↬ x = $\sf{\dfrac{\cancel{360}}{\cancel{18}}}$

↬ x = 20°

The value of x = 20°

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The angles of quadrilateral :-

• 2x = 2 × 20° = 40°
• 3x = 3 × 20° = 60°
• 5x = 5 × 20° = 100°
• 8x = 8 × 20° = 160°

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