Question

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

Answer 1

Answer:

Here is your Answer,

1x = 36°

1x = 36°2x = 72°

1x = 36°2x = 72°3x = 108°

1x = 36°2x = 72°3x = 108°4x = 144°

Step-by-step explanation:

Let the no. be x

Then no. are,

1x , 2x , 3x , 4x

Sum of all angles of quadrilateral is 360°

Therefore,

1x + 2x + 3x + 4x = 360°

10x = 360°

x = 360°/10

x = 36°

1x = 1 x 36

= 36°

2x = 2 x 36

= 72°

3x = 3 x 36

= 108°

4x = 4 x 36

= 144°

Answer 2

The four angles are 36⁰ , 72⁰ , 108⁰ , 144⁰

Step-by-step explanation:

Given that ,

Ratio of angles = 1:2:3:4

Let us assume the angles = 1x,2x,3x,4x

$\large\boxed{\mathsf{1x\: + \:2x \:+ \:3x\: + \:4x\: = \:360⁰(Angle\:Sum\: Property)}}$

10x = 360⁰

x = 360 ÷ 10

Therefore, x = 36⁰

1st angle = 1 × 36 = 36⁰

2nd angle = 2 × 36 = 72⁰

3rd angle = 3 × 36 = 108⁰

4th angle = 4 × 36 = 144⁰