Question

The angles of a quadrilateral are in the ratio 5 : 3 : 6 : 4. Find all the angles.​

Answer 1

Answer:

the angles of a quadrilateral are 60°, 80°, 100° and 120°.

Step-by-step explanation:

Ratio of angles of quadrilateral is 3:4:5:6.

Let the angles of quadrilateral be 3x,4x,5x,6x

As we know that sum of all angles of a quadrilateral= 360°

So , ACC. TO QUESTION

3x+4x+5x+6x=360°

18x= 360°

x=360/18

x=20°

So The value of x = 20°

Therefore the angles of quadrilateral -->

1st angle= 3x=3×20°=60°

2nd angle=4x=4×20°=80°

3rd angle=5x=5×20°=100°

4th angle= 6x= 6×20°=120°

Hence, the angles of a quadrilateral are 60°, 80°, 100° and 120°.

HOPE IT HELPS!

Answer 2

Answer:

Let 5x,3x,6x,and 4x

The sum of all angles of a quadrilateral is 180°

5x+3x+6x+4x= 180°

18x=180°

x=180/18

x=10°

Then

5x=5×10=50°

3x=3×10=30°

6x=6×10=60°

4x=4×10=40°