Question

2. Four angles of a quadrilateral are in the ratio 2:3:4:1. Find the angles solve.​

Answer 1

Answer:

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Explanation:

We know,

sum of the angles of a polygon = 180(n-2)

n= no. of sides

Therefore sum of the angles of a quadrilateral = 180(4-2) = 180×2 = 360°

Let the angles be 2x, 3x, 4x and x.

2x + 3x + 4x + x = 360°

or, 10x = 360°

or, x = 36°

Therefore the angles are:

2x = 2×36° = 72°

3x = 3×36° = 108°

4x = 4×36° = 144°

x = 36°

The angles are 72°, 108°, 144°, and 36°.

Answer 2

Angle 1=72
Angle 2=108
Angle 3=144
Angle 4=36
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