Question

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

Answer 1

Step-by-step explanation:

Now, we have the ratio of angles as 2 : 3 : 4 : 6

Let the first angle be 2x,

so then according to the ratio,

the angles will be 2x,3x,4x,6x

x=360∘15=72∘3=24∘

Hence, x=24∘.

Answer 2

Step-by-step explanation:

Let the unknown angles be 2x,3x,4x and 6x

Angle sum property of a quadrilateral is 360°

So,

=> 2x +3x +4x +6x =360°

=> 15x =360°

=> x = 360/15

x=24°

• Now, each measures are , 24•2= 48°
• 2nd angle is,24•3=72°
• 3rd angle is, 24•4=96°
• 4th angle is, 24•6=144°

So angles of the quadrilateral are 48°,72°,96° and 144°....

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