Question

The angles of quadrilateral are in the ratio 2:3:4:6. find the measure of each of these angles.

Answer 1

ratio=2:3:4:6
total angle of a quadrilateral=360°
let the ratios be
$2x \\ 3x \\ 4x \\ 6x$
$2x + 3x + 4x + 6x = 360 \\ 15x = 360 \\ x = 360 \div 15 \\ x = 24$
angle 1= 24×2=48
angle2= 24×3= 72
angle3=24×4=96
angle4= 24×6=144.

Answer 2

The measure of each of these angles is 48° , 72° ,96° and 144°

Step-by-step explanation:

We are given that The angles of quadrilateral are in the ratio 2:3:4:6.

Let the ratio be x

So, Angle 1 = 2x

Angle 2 = 3x

Angle 3 = 4x

Angle 4 = 6x

The sum of all angles of quadrilateral is 360°

So, $2x+3x+4x+6x=360$

$15x=360$

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

x=24

Angle 1 = 2x =2(24)=48°

Angle 2 = 3x =3(24)=72°

Angle 3 = 4x =4(24)=96°

Angle 4 = 6x =6(24)=144°

Hence  the measure of each of these angles is 48° , 72° ,96° and 144°

#Learn more:

The angles of a quadrilateral are in the ratio 4:3:2:6 find the measure each angle​

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