Question

The angles of a quadrilateral are in the
following ratio. Find the measurements of
the angles
a. 2:3:4:6​

Answer 1

Answer:

2x=48

3x=72

4x=96

6x=144

Step-by-step explanation:

Let the common ratio be x

So the angles are in the ratio 2x:3x:4x:6x

Sum of ratios= 2x+3x+4x+6x= 15x

Sum of angles of quadrilateral is 360

Value of x:- 15x=360

x=24

Measure of angles:

2x=48

3x=72

4x=96

6x=144

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Answer 2

Answer:

let suppose x to the common factor

1st angle= 2x

2nd angle =3x

3rd=4x

4rth = 6x

the sum of measurement of all angles of quadrilateral is = 180

hence

2x+3x+4x+6x = 180

15x = 180

x = 180÷15

x = 12

1st angle= 2x = 2×12=24

2nd angle =3x=3×12=36

3rd=4x= 4×12=48

4rth = 6x=6×12= 72

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