Question

The angles of quadrilateral are in the ratio 2:3:4:5. Find the angle of the quadrilateral​

Answer 1

Answer:

Angles are in the ratio=2:3:4:6

Let's assume the angles to be 2x,3x,4x and 6x

Sum of all the angles of a quadrilateral=360

o

⇒2x+3x−4x+6x=360

o

⇒15x=360

o

⇒x=360

o

/15=24

o

Hence, the angles are as follows:

2x=2×24

o

=48

o

3x=3×24

o

=72

o

4x=4×24

o

=96

o

and 6x=6×24

o

=144

o

.

Step-by-step explanation:

Okokok

Answer 2

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Explanation:

Given :

The angles of quadrilateral are in the ratio 2:3:4:6

To Find :

Angles of the Quadrilateral

Note :The sum of all angles in a quadrilateral is 360°

so,2x+3x+4x+6x=360°[reason is note ]

$= > 15x = 360$

$= > x = \frac{360}{15} = 24$

First angle of a quadrilateral is 2x=2×24=48°

second angle of a Quadrilateral is 3x=3×24=72°

Third angle of a quadrilateral is 4x=4×24=96°

Fourth angle of a quadrilateral is 6x=6×24=144°

Now check :-

48°+72°+96°+144°=360°