Question

The angles of a quadrillateral are in the ratio of 1 : 2 : 1 : 2, find the measure of each angle

Answer 1

SOLUTION:-

Given:

The angles of a quadrilateral are in the ratio of 1:2:1:2.

To find:

The measure of each angle.

Solution:

•Let the angle be R.

We know that, sum of all sides of a quadrilateral is 360°.

According to the question:

=) R + 2R + R+ 2R= 360°

=) 6R =360°

=) R= 360°/6

=) R= 60°

So,

1st angle, R= 60°

2nd angle, 2R= 2× 60° = 120°

3rd angle, R= 60°

4th angle, 2R= 2× 60° = 120°

Hence,

The measure of the angles is 60°,120°, 60° & 120°.

Hope it helps ☺️