Question

In parallelogram ABCD,angle A=angle B +50° , find all the angles of quadrilateral ABCD

Answer 1

Answer:

Step-by-step explanation:

In llgram adj angles are supplementary and opp angles are congruent.

let angle B be x degree

then angle A be x+50 degree

angle A and angle B are supplementary angles

therefore

x+x+50=180

2x+50=180

2x=130

x= 65

angle A=115 degree

angle B=65 degree

angle A= angle C. ............opposite angles

therefore angle C =115 degree

angle B= angle D(opposite angles)

therefore angle D= 65 degree