Question

the angle of quadrilateral are in the ratio 2:5:3:8. find the measure of each angle
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Answer 1

We know that the sum of angles of a quadrilateral is 360°. So, So, all the angles are: So, the angles of the quadrilateral are 40°, 60°, 100° and 160

Answer 2

Answer:

Angle Sum Property of a quadrilateral states that the sum of all the angles of a quadrilateral is 360°.

Given :-

• The angle of quadrilateral are in the ratio 2:5:3:8.

To find :-

• The measure of each angle.

Solution :-

• Let the angle be x , so that
• 2x + 5x + 3x + 8x = 360°
• or, 18x = 360°
• or, x = 360/18 = 20°

2x = 2(20) = 40°

5x = 5(20) = 100°

3x = 3(20) = 60°

8x = 8(20) = 160°