Question

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

Answer 1

hope it will help you:-)

Answer 2

$\large\underline\pink{Given:-}$

• The four angle of a quadrilateral are in the ratio 1:2:3:4

$\large\underline\pink{To find:-}$

• Find the measure of each angle of the quadrilateral....?

$\large\underline\pink{Solutions:-}$

Let the angle (x)°, (2x)°, (3x)° and (4x)°

Sum of the angle of a quadrilateral is 360°.

⟹ x + 2x + 3x + 4x = 360°

⟹ 10x = 360°

⟹ x = 360°/10

⟹ x = 36°

So, the measures of each angle of the quadrilateral.

x = 36°

2x = 2 × 36 = 72°

3x = 3 × 36 = 108°

4x = 4 × 36 = 144°

Hence, the angle of the quadrilateral are 36°, 72°, 108° and 144°.