Question

In the fig, diameter AB and chord CD intersect in point E. If m(arc CXB) =100⁰ . Find ∠ADC

Answer 1

Answer:

Intersecting chords theorem states that when two chords intersect each other inscale a circle, the product of their segments are equal also, diameter is the longest chord of the circle also now, draw a diameter of the circle passing through points P and M. it is the line XY as shown in the attachment

Length XY=2∗ radius =2∗13=26cm

MY=PY−PM=13−5=7cm

XM=XP+PM=13+5=18cm

By the intersecting chords theorem we have

CM∗PM=XM∗YM=18∗7=126

∴CM∗PM=126