Question

In quadrilateral ABCD, angel A, B, C and D are in the ratio 1: 2: 3:4 find the angels.​

Answer 1

Answer:

36⁰, 72⁰, 108⁰, 144⁰

Step-by-step explanation:

Let angles me x, 2x, 3x, 4x as the given ratio

Sum of all angles of quadrilateral is 360⁰

x + 2x + 3x + 4x = 360

10x = 360

x = 360/10

x = 36⁰

Measure of angles is x = 36⁰, 2x = 72⁰, 3x = 108⁰, 4x = 144⁰

Answer 2

Answer:

Given : ratio 1:2:3:4

let, take common multiple be x.

therefore,

Angle1 = 1x

Angle2 = 2x

Angle3 = 3x

Angle4 = 4x

by angle sum property of quadrilateral

Angle1 + Angle2+ Angle3+ angle4 = 180°

1x + 2x + 3x + 4x = 180°

10 x = 180°

x = 180/ 10

x = 18°

therefore,

Angle 1 = 18 °

Angle 2 = 36 °

Angle 3 = 54°

Angle 4 = 72 °

I hope you clearly understand these answers