Question

Find the smallest angle of a quadrilateral if its angles are in the ratio 2 : 3:4:6.​

Answer 1

Given :

• The ratio of all angles of a quadrilateral is 2:3:4:6.

To Find :

• What is the smallest angle?

Solution :

Let the angles be 2x, 3x, 4x and 6x respectively and the smallest angle is 2x.

As we know that, sum of all angles of a quadrilateral is 360°.

Therefore,

⇝ 2x + 3x + 4x + 6x = 360°

⇝ 15x = 360°

⇝ x = 360°/15

⇝ x = 24°

∴ The smallest angle is (2 × 24)° = 48°.

Answer 2

Answer:

Here's your answer.

Step-by-step explanation:

Sum of all angles of a quadrilateral = 360

let the angle be x

2x + 3x + 4x + 6x = 15x

x = 360/15

x = 24

2x = 2 x 24 = 48

3x = 3x 24 = 72

4x = 4 x 24 = 96

6x = 6 x 24 = 144

The smallest angle is 48. Therefore the smallest angle is 48.

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