Question

The four angles of a quadrilateral are in the ratio 1: 2:3:4. Find the measure of each angle
of the quadrilateral.
nature of AACD. Give reasons.​

Answer 1

Answer:

36°, 72°, 108°, 144° are the angles.

Answer 2

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

Sum of all the angles of a quadrilateral is 360⁰.

x+2x+3x+4x=360⁰

10x=360⁰

x=(360/10)⁰

x=36⁰

2x=(36×2)⁰=72⁰

3x=(36×3)⁰=108⁰

4x=(36×4)⁰=144⁰