Question

qadilateral PQRS is a cyclic quadilateral whose diagonal intersect at thepoint E . if measure angle SQR=70, measure angle QPR=30, find measure angle QRS. furthur if PQ=PR, find measure angle ERS (I donot need figure only method and explanation)

Answer 1

angle SQR = angle SPR    (angles in same arc)
angle SPQ = angle SPR + angle RPQ
angle SPQ = 100 degree

angle QRS = 180-100 80 degree