Question

In a Quadrilateral ABCD, the angles A, B, C and D are in the Ratio 1:2 : 4:5. Find the measure of each angle of the quadrilateral. pls no spam.

Answer 1

Step-by-step explanation:

Let the four angles of Quadrilateral ABCD be x,2x,4x,5x.

Since, we know that the sum of all the angles of a Quadrilateral is 360°.

Therefore, x+2x+4x+5x=360°

=>12x=360°

=>x=30°

Therefore, the required angles of Quadrilateral ABCD are:x=30°,2x=2×30°=60°,4x=4×30°=120° and 5x=5×30°=150°.

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Answer 2

Given :-

In a Quadrilateral ABCD, the angles A, B, C and D are in the Ratio 1:2:4:5.

To Find :-

M easure of each angle of the quadrilateral.

Solution :-

Let the angles be x, 2x, 4x and 5x

Sum of all angles in a quadrilateral = 360

x + 2x + 4x + 5x = 360

12x = 360

x = 360/12

x = 30/1

x = 30

Therefore, Angles are

1x = 1(30) = 30°

2x = 2(30) = 60°

4x = 4(30) = 120°

5x = 5(30) = 150°