Question

a quadrilateral ABCD angle a ,angle b ,angle c , angle d are in ratio of 1:2:3:4 find the measure of each

Answer 1

☆ Correct Question ☆

A quadrilateral ABCD the angle A, B, C and D are in ratio of 1 : 2 : 3 : 4. Find the measure of each angles.

☆ Solution ☆

Given :-

• A quadrilateral ABCD the angle A, B, C and D are in ratio of 1 : 2 : 3 : 4.

To Find :-

• The measure of each angles.

Step-by-Step-Explaination :-

Let the ratios be 1x, 2x, 3x and 4x

As we know that :-

Sum of all angles = 360°

So,

1x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10

x = 36

Now,

1x = 1 × 36 = 36

2x = 2 × 36 = 72

3x = 3 × 36 = 108

4x = 4 × 36 = 144

So,

Angles are :-

A = 36°

B = 72°

C = 108°

D = 144°