Question

The angles of a quadrilateral are in the following ratio. Find the measurements of the angles.
a 1:2:3:4
b1:36:8
c 2:3:4:6​

Answer 1

Answer:

Step-by-step explanation:

         

Let the common ratio be x.

Then the four angles of the quadrilateral are 3x, 5x, 7x, 9x.

According to the angle sum property of quadrilateral,

3x + x + 2x + 4x = 360    

⇒ 10x = 360        

⇒ x = 36

herefore, measure of angle A x = 36°

Measure of angle B = 2x = 72°

Measure of angle C = 3x =  108°

Measure of angle D = 4x =144