Question

The measures of the angle of quadrilateral
ABCD
are in the ratio 2:3:4:1 find
the measure of each of angles What type
of quadrilateral is it ?​

Answer 1

Answer:

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

By problem,

2x+3x+4x+x = 360⁰

Or 10x = 360⁰

Or x = 360/10 = 36⁰

Thus,

2x = 36 × 2 = 72⁰

3x = 36 × 3 = 108⁰

4x = 36 × 4 = 144⁰

x = 36 × 1 = 36⁰

If you add them it will result in 360⁰, which is the total of all the angles in a quadrilateral.

Answer 2

Answer:

Angle Measures: 72°,108°,144°,36°

Quadrilateral Type: Convex Quadrilateral

Step-by-step explanation:

Let the required Number be x

Sum of angles in a quadrilateral =360°

Therefore,

2x+3x+4x+1x=360°

10x=360°

x=36°

2x=2×36°=72°

3x=3×36°=108°

4x=4×36°=144°

1x=1×36°=36°

It's a convex quadrilateral as the measure of all the angles is less than 180°.

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