\(∠\)APR=\(∠\)PRD [Alternate interior angles]
50°+y=127°
y=127°−50°
y=77°
Also,
\(∠\)APQ=\(∠\)PQR [Alternate interior angles]
50°= x
\(∴\) x=50° and y=77°
In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.