Help Please! Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “

Question

4 years ago

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Help Please! Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “

ring road” that allows traffic to bypass the old streets. The figure shows a circular ring road and two roads that provide access to the old city. Find mCBD. FULL QUESTION IN PICTURE

Mathematics

1 answer:

timurjin [86] · Answer 1 · 2022-01-18T22:04:11+03:00

Answer:

CBD = 82°

Step-by-step explanation:

From the chords relations in a circle, we have that when two chords intersects, we have the following angles:

CBF = DBE = (1/2) * (arc(CF) + arc(DE))

CBD = FBE = (1/2) * (arc(CD) + arc(EF))

So, using the second equation to find the value of the angle CBD, we have that:

CBD = (1/2) * (100 + 64)

CBD = (1/2) * 164

CBD = 82°