Question

12)The ratio of four angles of a
quadrilateral is 5:6:4:9. Find the
angles.​

Answer 1

☆ SOLUTION ☆

Given :-

• The ratio of four angles of a quadrilateral is 5:6:4:9.

To Find :-

• The angles of the quadrilateral.

Step-by-Step-Explaination :-

Let,

• The ratios be 5x, 6x, 4x and 9x

Now,

As we know that :-

Sum of all angles of quadrilateral = 360°

So,

5x + 6x + 4x + 9x = 360°

24x = 360°

x = 360/24

x = 15

Thus,

The value of x is 15°.

Now,

5x= 5 × 15° = 75°

6x = 6 × 15° = 90°

4x = 4 × 15° = 60°

9x = 9 × 15° = 135°

Hence,

The angles of quadrilateral are 75°, 90°, 60° and 135°.

Answer 2

The ratio of four angkes of quadrilateral=5:6:4:9

Then let the angles are 5x,6x,4x and 9x

We know that total of four angles of a quadrilateral

ATQ

5x+6x+4x+9x=360degree

24x=360degree

x=360/24

x=15

1st angle=5x=5x15=75

2nd angle=6x=6x15=90

3rd angle=4x=4x15=60

4th angle=9x=9x15=135