Question

the angles of quardilator are in ratio 3:5:8:14 find all angles of queadilateral
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Answer 1

$\bf\underline{\underline{\blue{SOLUTION:-}}}$

Question

• The angles of quardilator are in ratio 3:5:8:14 find all angles of queadilateral ?

Answer

• Angles are 36° , 60° , 96° , 168°

Given

• Ratio of angles 3:5:8:14

To Calculate

• All angles __?

Step by Step Explanation

Ratio of Angles = 3:5:8:14 ( Given)

Let the Angles be 3x , 5x , 8x ,14x

We know that,

${\boxed{\red{\tt{Sum \: of\: All \: angles \: of \: a \:Quadrilateral ↝360 }}}}$

putting values,

⤖ 3x + 5x+ 8x + 14x = 360

⤖ 30x = 360

⤖ x= 360 / 30

⤖ x= 12

Angles are

3x = 3×12 = 36°

5x = 5×12 = 60°

8x = 8×12 = 96°

14x= 14×12 = 168°

$\bf\underline{\underline{\blue{HENCE:-}}}$

• Angles are 36°, 60°, 96°, 168°

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Answer 2

Answer:

let 3x 5x 8x 14x be the angles.

therefore, 3x+5x+8x+14x = 360

therefore 3ox = 360

now, x = 360/30

answer : x = 12

3x= 36

5x=60

8x=96

14x=168

therefore 36+60+96+168=360