Question

In pqrs us a parallelogram and if angle spq is equal to 50 degree and angle sqr is equal to 70 degree find angle rsq and angle psq

Answer 1

Answer:

angle rsq=60 degree, angle psq=70 degree

Step-by-step explanation:

Given angle spq=50 degree, angle sqr=70 degree.

In a parallelogram opposite angles are equal.

In the above diagram angle spq= angle srq.

angle srq=50degree

In a triangle srq sum of the three angles=180 degree.

angle rsq+ angle srq+ angle sqr=180 degree.

angle rsq+50+70=180.

angle rsq+120=180

angle rsq=180-120

=60 degree

In a parallelogram sum of any two adjacent angle is equal to 180 degree.

Therefore angle rsp+ angle spq=180 degree.

angle rsp=180-50

=130

angle rsp= angle rsq+ angle psq

angle psq=130-60

=70 degree