Ten > Circle

Asked by Basanta · 1 year ago

In the figure, two circles are intersected at the points P and Q. Two lines AB and CD pass through the point Q.

1. What is the relation between the inscribed angles made by the same arc? Write it. 
2. If $\rm \angle$ QAP =  25$^{\circ}$ and $\rm \angle$ QCP =  (2x - 15)$^{\circ}$, find the value of x.
3. Prove that: $\rm \angle $CPA = $\rm \angle $BPD.
4. Verify experimentally that the central angle is double of the inscribed angle standing on the same arc by making two circles having at least 3 cm radii.