Question

EXERCISE 8.1
3
1.
The angles of quadrilateral are in the ratio 3: 5:9: 13. Find all the angles of the quadrilateral. =
om equal then show that it is a rectangle.​

Answer 1

Step-by-step explanation:

let the 1st angle be 3x ,5x,9x,and 13x

then we know that sum of all angles of a quadrilateral is 360°

so,3x+5x+9x+13x=360°

30x=360°

x=12

1st angle=3x=3×12°=36°

2nd angle=60°

3rdangle=108°

4th angle=156°

Answer 2

Hey Friend!! Here is your answer,

Let the common factor be= x

Then the angles will be= 3x, 5x, 9x, 13x.

We know the sum of all interior angles of a quadrilateral is = 360°

ATQ,

=> 3x+5x+9x+13x=360

=>30x=360

=>x=360/30

=>x=12

So, x= 12

Now the angles are,

3x=36°

5x=60°

9x=108°

13x=156°

Hope this helps you......

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