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53. 13. The four angles of a quadrilateral

are in the ratio 2:3:5:8. Find the angles.

(a) 40°, 60°,100°,160°

(b) 50°,70°, 90°,150°

(c) 40°,60°, 110°,150°

(d) 40°,50°, 100°,170°

Full Marks : 1

## Answers

Answered by

0

**Step-by-step explanation:**

Answered by

5

### ☆ __Solution__ ☆

__Given__ :-

- The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8.

__To Find__ :-

- The angles of quadrilateral.

__Step-by-Step-Explaination__ :-

Let the ratios be 2x, 3x, 5x and 8x

As we know that :-

The sum of the angles of a quadrilateral is 360° .

__So__,

2x + 3x + 5x + 8x = 360°

18x = 360°

x = 360/18

x = 20°

__Thus__,

The measure of all angles of the quadrilateral are :-

2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

5x = 5 × 20 = 100°

8x = 8 × 20 = 160°

__Hence____,__

Option a) 40°, 60°, 100°, 160° is correct option.

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