Question

please give answer to this step by step ​

Answer 1

Answer:

36° , 72°, 108°, 144°

Step-by-step explanation:

Let all the angles be x, 2x , 3x, 4x

We know, Sum of all angles of quadrilateral = 360

[ (n-2) ×180 = sum of all angles of polygon ; where n = number of sides ]

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

10x = 360

x = 36

angles - x = 36°

2x = 36×2 = 72°

3x = 3 × 36 = 108°

4x = 36×4 = 144 °

Answer 2

Answer :

36°, 72° , 108°, 144°

Step by Step explanation:

A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees.

So, let the angles be x, 2x, 3x, 4x

Therefore,

x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10

x = 36°

Therefore All the angles are as follows:

x = 36°

2x = 2*36 = 72°

3x = 3*36 = 108°

4x = 4*36 = 144°

To check: Sum of all four angles must be 360°.