Question

the angles of a qadrilateral are in the ratio 2:3:4:6.FIND in the measure of each of THE four angles

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Answer 1

Question:

The angles of a qadrilateral are in the ratio 2:3:4:6.FIND in the measure of each of THE four angles

Solution:-

As, we all know,

Sum of the angle of a quadilateral is 360°

2x +3x+4x+6x = 360°

15 x =360

x=360/15

x= 24

Hence,

2x= 2x24=48 1st angle

3x=3x24=72 2nd angle

4x=4x24=96 3rd angle

6x=6x24=144 4th angle

Answer 2

$\huge\sf\red{Question}$

The angle of a quadrilateral are in the ratio 2:3:4:6. Find the measure of each of the four angles.

$\huge\mathbf\pink{Solution:-}$

Given Ratio of angles :-2:3:4:6

Let each angle of the quadrilateral be 2x,3x,4x and 6x.

Sum of all the angles of a quadrilateral =360°

∴2x+3x+4x+6x=360°

⇒ 15x = 360°

⇒ x = $\frac{360}{15}$

⇒ x = 24°

∴ required angles are 2 × 24°, 3 × 24°, 4 × 24° , 6× 24° = 48° , 72° , 96° , 144°

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Hence,

First angle :- 48°

Second angle :- 72°

Third angle :- 96°

Fourth angle :- 144°

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