Question

In The above figure, find angle AEC

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Answer 1

Option A

Explanation:

If two chords of a circle are intersecting each other inside the circle,

Measure of the angle formed between these chords is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Therefore, m∠AEC =
`(1)/(2)(\text{arcAC}+\text{arcBD)}`

m∠AEC =
`(1)/(2)(110^(\circ)+40^(\circ))`

= 75°

Therefore, Option A will be the correct option.