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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 :
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°.