Question

26.The angles A,B,C and D of a quadrilateral have measures in the ratio 2:4:5:7 . Find the measures of these angles.What type of quadrilateral is i

Answer 1

Answer:

Let the unknown angle be x

Given ratio is 2:4:5:7 ( 2x,4x,5x and 7x)

Therefore sum of all angles in a quadrilateral is 360°

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

18x = 360

X = 20

Therefore the measure of angles are

2x = 2(20) = 40

4x = 4(20)= 80

5x = 5(20)=100

7x = 7(20) = 140