Question

Abcd is a cyclic quad.In a||dc.Angle a=75°,find remaining angles of a quadrilateral

Answer 1

In cyclic quad. sum of opposite angles is equal to 180deg.

ang.a+angle.c=180

75+angle.c=180

angle.c=105

since AB parallel to CD

so angle.a and ang.d are same side angles to transverse AD

and.a+angle.d=180

75+angle.d=180

angle.d=105

since angle b is 75