Question

In a Quadrilateral angles are in ratio 2:3:4:1. Find the angles​

Answer 1

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ʟᴇᴛ ᴛʜᴇ ᴀɴɢʟᴇꜱ ʙᴇ 2x,3x,4x ᴀɴᴅ x

$2x + 3x + 4x + x = 360$ ( ᴀɴɢʟᴇ ꜱᴜᴍ ᴘʀᴏᴘᴇʀᴛʏ)

$10x \: = 360$

$x = 360 \div 10$

$x = 36$

so, angles =

$2x = 72$

$3x = 108$

$4x= 144$

$x= 36$

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Answer 2

☆ SOLUTION ☆

Given :-

• In a Quardrilateral angles are in ratio 2:3:4:1.

To Find :-

• The angles .

Step-by-Step-Explanation :-

Let the ratios be 2x, 3x, 4x and 1x

As we know that :-

Sum of all angles of quadilateral = 360°

According to the condition,

2x + 3x + 4x + 1x = 360°

10x = 360°

x = 360/10

x = 36°

Thus,

The value of x = 36°

Now,

The angles are :-

2x = 2 × 36° = 72°

3x = 3 × 36° = 108°

4x = 4 × 36° = 144°

1x = 1 × 36° = 36°

Hence,

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