Question

In figure ABCD is a quadrilateral with angle B is 65 degree and angle D is 105 degree.If angle A and angle C are in ratio 3:7 find the value of x and y

Answer 1

let angle a be 3a and angle c be 7a. we know that sum of all the angles of a quadrilateral is 360 degrees. so ,
3a + 7a+ 65 degree +105 degrees =360 degrees.
10a + 170 degree =360 degrees.
10 a = 190 degree.
a =19 degrees.
so angle A = 19×3 = 57. and angle C 19×7= 133.