Question

the measure of the angle of a quadrilateral ABCD are in ratio 2:3:4:1find the measure of each angle​

Answer 1

Answer:

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

10x =360

x =36

ist angle = 2×36 = 72

2nd angle =3×36=108

3rd angle =4×36 = 144

4th angle = 36×1 = 36

Answer 2

Given,

In Quadrilateral ABCD,

• The Ratio of All angles is 2 : 3 : 4 : 1.

To Find,

Let's,

The First angle = 2X

So,

The Second angle = 3X

So,

The Third angle = 4X

So,

The Fourth angle = X

The Sum of All angles of the Quadrilateral = 360°

→ 2X + 3X + 4X + X = 360°

→ 10X = 360°

→ X = 360°/10

→ X = 36°

The First angle = 2X

→ The First angle = 2(36°)

→ The First angle = 72°

The Second angle = 3X

→ The Second angle = 3(36°)

→ The Second angle = 108°

The Third angle = 4X

→ The Third angle = 4(36°)

→ The Third angle = 144°

The Fourth angle = X

→ The Fourth angle = 36°

Required Answer,

• The First angle = 72°
• The Second angle = 108°
• The Third angle = 144°
• The Fourth angle = 36°