Question

Q1. Ratio of measures of angles of quadrilateral ABCD is 7:9:3:5. Then find the measures of its angles and write the type of the quadrilateral.
​

Answer 1

Answer:

105, 135, 45 and 75 and it is a trapezium

Step-by-step explanation:

We know that the sum of all angle of a quadrilateral is 360 degrees.

We can take the angles in ratio as, 7x, 9x, 3x and 5x.

7x+3x+5x+9x = 360

24x = 360

x =  15

Thus, 7x = 105, 9x = 135, 3x = 45 and 5x = 75 degrees.

This quadrilateral is a trapezium.

This is because in a trapezium the adjacent angles at the either ends of the parallel lines add up to 180 deg.

105+75=180 deg and

135+45=180 deg