Question

If the measure of the four angles of a quaderilateral are in the ratio of 1:2:3:4, then find the measure of all the angles.​

Answer 1

Answer:

let the angels of the quadrilateral be 1x, 2x, 3x, 4x, respectively (as ratios of there angles are given)

therefore = 1x + 2x + 3x + 4x = 360 (angles sum property of quadrilateral)

10x = 360

x = 36

Step-by-step explanation:

therefore, 1st angle = 1x = 1*36 = 36°

, 2nd angle = 2x = 2*36 = 72°

, 3rd angle = 3x = 3*36 = 108°

, 4th angle = 4x = 4*36 = 144°