Question

3.
The angles of a quadrilateral are in the ratio 1:3:7:9. Find the measure of each angle

Answer 1

Let one of the angles be x
According to the question,,,,angles are in the ratio of 1:3:7:9
If one angle is x other would be 3x next would be 7x and last angle would be 9x(ratio=1:3:7:9)
Add em’ up,,,,and we know sum of the angles in a quadrilateral is equal to 360.
So,
X+3x+7x+9x=360
Solve it,and we’ll get x=18
Now if x=18 other angle will be 3(18)=54, 7(18)=126 and last angle 9(18)=162