Question

If the angle of the quadilateral are in the ratio of 2:3:6:7. Find the measure of the smallest angle​

Answer 1

Answer:

Ratio: 2:3:6:7

We know that sum of all angles in a quadrilateral=360°

so, the equation becomes:

2x+3x+6x+7x=360

18x=360

x=360/18

x=20

Now, if we multiply 20 with 2, that is the smallest number in the ratio, We get 40

So, 40° is the measure of the smallest Angle in the quadrilateral!

I Hope this helps!

Answer 2

We know that,

Sum of all angles of a quadrilateral = 360°

Let the angles be 2x,3x,6x and 7x respectively.

$2x+3x+6x+7x=360\\18x=360\\x=\frac{360}{18} = 20$

So, we find the values of x which is 20°.

Substituting the value of x,

First angle = 2x = 40°.

Second angle = 3x = 60°

Third angle = 6x = 120°

Fourth angle = 7x = 140°