Question

the angles for quadrilateral are in the ratio 3: 5: 9; 13 find all theangles for the quadrilateral
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Answer 1

Step-by-step explanation:

let the angles are a, b, c, d.

a=3x,b=5x,c=9x,d=13x.

the sum angles of quadrilateral is 360

therefore a+b+c+d=360

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

30x=360

x=12

so a=36,b=60,c=108,d=156

Answer 2

Answer:

1st angle = 36° 2nd angle = 60° 3rd angle = 108°

4th angle = 156°

Step-by-step explanation:

RATIO GIVEN IS 3:5:9:13

LET FIRST ANGLE =3x

SECOND ANGLE = 5x

THIRD ANGLE = 9x

FOURTH ANGLE = 13x

We know that sum of all angles of a quadrilateral is 360°

=> 3x + 5x + 9x + 13x = 360°

=>30x = 360°

=> x = 12°

Now

1st angle = 3 X 12 = 36°

2nd angle = 5X 12= 60°

3rd angle = 9X12= 108°

4th angle = 13 X 12.= 156°