Question

Thr angles of are in the ratio 1:2:3:4 .if the sum of angels of quadrilateral is 360 degree, find the measure of angle

Answer 1

Let the common ratio be x.  

Then the measure of four angles is 1x, 2x, 3x, 4x  

We know that the sum of the angles of quadrilateral is 360°.  

Therefore,1 x+2x+3x+4x=360°  

 10x=360°  

⇒ x=360/10  

⇒ x=36  

Therefore, 1x=1*36=36°  

2x=2*36=72°  

3x=2*36=108°  

4x=4*36=144°  

Hence, the measure of the four angles is 36°, 72°, 108°, and 144°.