Question

The measure of four angles of a quadrilateral are 3x,
4x, 5x and 6x. Find all the angles.​

Answer 1

Answer :-

The angles will be 60°, 80°, 100° and 120° respectively.

Solution :

Given,

Measures of four angles of quadrilaterals - 3x, 4x, 5x and 6x

We know that,

Sum of all angles = 360

According to question,

=> 3x + 4x + 5x + 6x = 360

=> 18x = 360

=> x = 360/18

=> x = 20

Therefore, The angles :-

3x => 3 × 20 = 60°

4x => 4 × 20 = 80°

5x => 5 × 20 = 100°

6x => 6 × 20 = 120°

Answer 2

Given that the angles of the quadrilateral is 3x,4x,5x,6x.

The sum of the angles in a quadrilateral is 360 degrees.

Therefore,

3x+4x+5x+6x is equal to =360 degrees

18x=360

Therefore X=20 degrees

3x=60

4x=80

5x=100