Question

A, B, C and D are points on a circle with centre O. The chords AC and BD intersect inside the circle at E. AB and CD
are drawn. BAE = 47° and ACD = 93º. What is the measure of BEC?
Options :
1. * 140°
2. * 120​

Answer 1

Answer:

140

Step-by-step explanation:

angle abd = angle acd = 93 (angle in the same segment are equal)

now in triangle aeb

47 + 93 + angle aeb = 180 (angle sum property)

angle aeb = 40

as aec is a straight line

so angle aeb + bec = 180 (linear pair)

40 + bec = 180 so bec = 140