the four angles of a quardilateral are in the ratio 1:2:3:4 find the measure of each of the quadrilateral​

2 thoughts on “the four angles of a quardilateral are in the ratio 1:2:3:4 find the measure of each of the quadrilateral​”

1. Answer:

   let all the angles = x

   1=x

   2=2x

   3=3x

   4=4x

   We all know that the sum of all angles of a quadrilateral is 360°

   x+2x+3x+4x=360°

   10x=360°

   x=360/10

   x=36°

   2x=2×36=72°

   3x=3×36=108

   4x=4×36=144°

   Reply

2. Answer

   Given, the four angles of a quadrilateral are in the ratio 1:2:3:4

   Let the angles be x,2x,3x & 4x.

   ∴ x+2x+3x+4x=360

   ⇒10x=360

   ∴ x=36°

   ∴ angles are 36° ,72° ,108° & 144°

   Reply