Question

In a quadrilateral interior angles are in ascending order and difference between two consecutive angles is

20°. Then find all the angles. ​

Answer 1

Given:

In a quadrilateral interior angles are in ascending order and difference between two consecutive angles is  20°

To find:

The measurements of the angles

Solution:

Let the value of the angles of the quadrilateral are

x, x+20°, x+40° and x+60°

and as per the angle sum property of the quadrilateral, the sum of all the angles of the quadrilateral is 360°

so the sum of the angles is given by:

x+x+20°+x+40°+x+60° = 360°

4x = 240°

x = 60°

So the value of the angles are:

• x = 60°
• x+20° = 60°+20° = 80°
• x+40° = 60°+40° = 100°
• x+60° = 60° + 60° = 120°

The measurements of the angles of the quadrilateral are 60°, 80°, 100°, and 120°