Question

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measures of each of the four angles.

Answer 1

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 = ${360}^{\circ }$
⇒ 10x =${360}^{\circ }$
∴ x = ${36}^{\circ }$
∴ angles are ${36}^{\circ }$ , ${72}^{\circ }$ , ${108}^{\circ }$ & ${144}^{\circ }$.