Question

the angles a b c and d of quadrilateral ABCD are in the ratio 2 is to 4 is to 5 to 7 find the measures of the angles what type of quadrilateral is it give reasons

Answer 1

Answer<a+b+c+d=360°

Let angle 2x+4x+5x+7x

2x+4x+5x+7x =360°

18x=360°

X=360° /18

X=20°

2x=2*20 =40°

4x=4*20=80°

5x=5*20 =100°

7x=7*20 =140°

Step-by-step explanation:

Answer 2

Let the ratio be x that is 2x,4x,5x,and 7x.

Area of quadrilateral=sum of all sides.

360=2x+4x+5x+7x

360=18x

x=360/18

x=20

Value of x is 20

Angle A=2*20

= 40

Angle B=4*20

=80

Angle C=5*20

=100

Angle D=7*20

=140

Here is our required value.