Answer:
Step-by-step explanation:
A secant is a straight line from a point outside a given circle that passes through two points on its circumference.
From the given diagram, EM and EQ are secants.
Thus,
<PEW ≅ <WEP (common angles)
<EMP ≅ <EQW (secant-chord theorem)
<WMP ≅ <PQM (inscribed angles of arc WP)
Therefore,
[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex] (corresponding sides of a triangle)
This implies that,
EW*PQ = EP*WM
Therefore,
MP*EW = WQ*EP (properties of a similar triangle)
