1. ABCP are points on the circle.ABC is a isocelels triangle with AB=AC and angle bisector of B meets circle at P. If AP and BC is extended to meet at Q, show that AC=QC.
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Hello, reshma!
1. are points on the circle.
is an isocelels triangle with , and angle bisector of meets circle at
If and is extended to meet at , show that:
Since
Since
Let
. . Then: .
is an inscribed angle.
. . It is measured by: .
is formed by two secants.
. . It is measured by:
Hence: . , and is isosceles.
Therefore: .