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asked Aug 13, 2022 116k views

1 Answer

Aquirdturtle · Answer 1 · 2022-08-19T05:15:16+0000

Answer:

m∠3 = 24°

Explanation:

By the theorem,

"Intercepted arc measures the double of the inscribed angle formed by two chords meeting at one point of the circle."

In the given picture,

∠3 is the inscribed angle subtended by the arc ED and is the intercepted arc.

Therefore, m∠3 =
$(1)/(2)m(\text{arc}ED)$

m∠3 =
(1)/(2)(48)

= 24°

Measure of angle 3 is 24 degrees.