Question

if one angle of a quadrilateral is 140° and rest of three are in the ratio of 3:3:2. find all the angles of the quadrilateral​

Answer 1

Answer:

Sum of angles in a quadrilateral will be 360degree.

Fourth angle is given which is 80degree.

Angle remaining=360-80= 280degree.

The remaining three angles are in ratio 3:3:1

We'll Divide 280 degree in 3:3:1 ratio

Let remaining angles be 3x,3x and x respectively.

3x+3x+x= 280 degree.

7x = 280degree.

Therefore x=280/7= 40 degree.

Hence the measure of equal angles be 3x

=3*40=120 degree

Angles will be 120,120,40,80) degree, the sum of which is 360 degree.

Hope this helps.