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Mathematics

1 answer:

notka56 [123]3 years ago

6 0

Answer:

m∠3 = 24°

Step-by-step 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 = $\frac{1}{2}m(\text{arc}ED)$

m∠3 = $\frac{1}{2}(48)$

= 24°

Measure of angle 3 is 24 degrees.

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