Question

A quadrilateral has angles in the ratio 3:4:5:6. Find
the measure of each angle of the quadrilateral.​

Answer 1

Step-by-step explanation:

In a quadilateral the angles add up to

360

Let's call the angles

3x, 4x,5x,6x

Then:

3x+4x+5x+6x=360

=18x=360

=x=20

Substituting the value of x

Then the angles are

60, 80,100,120

Answer 2

Correct question:-

A quadrilateral has angles in the ratio 3:4:5:6.Find the measure of each angle of the quadrilateral.

Given:-

•Ratio of angles of the quadrilateral=3:4:5:6

To find:-

•Measure of each angle of the quadrilatetal.

Solution:-

Let the angles of the quadrilateral be 3x,4x,5x and 6x respectively.

Now,we know that sum of all angles of a quadrilateral is 360°

So,by using the above concept we get:-

=>3x+4x+5x+6x=360

=>18x=360

=>x=360/18

=>x=20

Here,we have got the value of x=20

Thus,the angles of the quadrilateral are:-

•3×20=60°

•4×20=80°

•5×20=100°

•6×20=120°

Verification:-

Now,we shall verify our answer by taking 60°,80°,100° and 120° in LHS and 360° in the RHS(as sum of four angles of a quadrilatetal is 360°).

LHS RHS

=>60+80+100+120 = 360

=>360=360

Hence,LHS=RHS verified