Question

Find each angle of quadrilateral if its right anFind each angle of quadrilateral if its right angles are in the ratio of 3:4:6:7?gles are in the ratio of 3:4:6:7?

Answer 1

Angle(1) = 54°

Angle(2) = 72°

Angle (3) = 108°

Angle(4) = 126°

Step-by-step explanation:

Since the given quadrilateral is 90° from each angle, it is a parallelogram.

Given:

Ratio of all the angles = 3:4:6:7

Solution:

let the common ratio be x

So, the angles are 3x, 4x, 6x, 7x

Now, the sum of all the angles of a parallelogram is 360°.

This implies, 3x+4x+6x+7x = 360

So, 20x =360

x = 360/20

x = 18°

Now, Angle(1) = 3x = 3×18 = 54°

Angle(2) = 4x = 4×18 = 72°

Angle (3) = 6x = 6×18 = 108°

Angle(4) = 7x = 7×18 = 126°

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