Question

If two opposite angles of a parallelogram are (63-3x) and (4x-7). Find all the abgles

Answer 1

opposite angles of paralleogram are equal angle A= angle C and Angle B= AngleD

63-3x=4x-7

4x+3x=63+7

7x=70

×=10

A=63-3x=63-3×10=33°

C=4x-7=4×10-7=33°

Angle property of quadrilateral ,

angle (A+B+C+D)= 360°

angle (2A+2D)=360°

2×33°+ 2angle D = 360°

66°+ 2angle D =360°

2angleD=360°-66°

angle D= 294/2

angle D=146°

angle B=angle D=146°