Question

Abcd is a quadrilateral inscribed in centre O. cd is produced to E such that angle AED=95° angle OBA=30°.find OAC

Answer 1

Given,
ABCD is quadrilateral
angle AED = 95
OBA = 30
To find - angle OAC
Construction - Side CD is extended to point E
Solution -
OBA = 30  ....(Given)
therefore, OBA + OAC = 180  ....(Linear pair of angles)
                 30 + OAC = 180
therefore  OAC = 180 - 30
                 OAC = 150