Question

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio of 1:2:4:5. Find the measure of its greatest angle.

Answer 1

Step-by-step explanation:

we know that the sum of all the angles of a quadrilateral is 360

so, angle 1+2+3+4=360

given ratio= 1:2:4:5

add these ratios=12

now 360/12=30

now multiply the ratio with 30

1*30= 30 degrees

2*30=60 degrees

4*30=120 degrees

5*30=150 degrees

the greatest angle is 150 degrees