Question

The angles of a quandrilateral are in the ratio 1 : 2 : 3 : 4 .What are the measures of the four angles..?​

Answer 1

Answer:

Given the ratio of the Angles of quadrilateral = 1 : 2 : 3 : 4

Therefore, let the Angles of quadrilateral be x , 2x , 3x , 4x

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We know that,

Sum of all angles of a quadrilateral is 360°

: $\implies$ x + 2x + 3x + 4x = 360°

: $\implies$ 10x = 360°

: $\implies$ x = $\dfrac{360}{10}$

: $\implies$ x = $\boxed{\sf{36°}}$

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Measures of angles :-

x = 36°

2x = 2 × 36 = 72°

3x = 3 × 36 = 108°

4x = 4 × 36 = 144°

Answer 2

Sum of all angles of a quadrilateral = 360°

x + 2x + 3x +4x = 360°

10x = 360°

x= 360/10 = 36

x = 36

2x = 72

3x = 108

4x = 144