Question

the angles of a quadrilateral are 3x,4x,5x and 6x.find x.what are the angles in degree

Answer 1

We know sum of Angles of a quadrilateral is 360 degree.

$3x + 4x + 5x + 6x = 360 ^{0}$

$18x = 360 ^{0}$

$x = 20 ^{0}$

Angles are --

3x=60 degree

4x=80 degree

5x=100 degree

6x=120 degree

Answer 2

Hey there!!!❤


Sum of all the angles in a quadrilateral is 360°

<A + <B + <C + <D = 360°

So,

3x + 4x + 5x + 6x = 360°

=> 18x = 360°

=> x = $\dfrac{360}{18}$

=> x = 20°

Put the value of x in all the angles,

3x = 3 × 20 => 60°

4x = 4 × 20 => 80°

5x = 5 × 20 => 100°

6x = 6 × 20 => 120°
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