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What is the measure of ABC?

What is the measure of ABC?-example-1
User Paloma
by
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2 Answers

6 votes

Answer: 85

Explanation:

User AgentX
by
8.7k points
3 votes

Answer:

85 degrees.

Explanation:

From the diagram, it is clearly visible that the angle ∠ABC is formed by intersections of two chords AE and CD of the circle.

We know the following formula for angles formed in circles:-

Angle formed by two intersecting chords of a circle = Half the sum of intersecting arcs.

∠ABC = 1/2 * (arcAC + arcDE)

From the diagram, arcAC = 130 degrees, and arcDE = 40 degrees.

so ∠ABC = 1/2 * (130° + 40°) = 1/2 * 170° = 85°.

Hence. option B is correct, i.e. 85 degrees.

User John DeBord
by
9.0k points

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