Question

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

Answer 1

CBD = 82°

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°