# Exercises 3.19B• Angles Equal •1. Prove that the angle between a tangentland a chord drawn from the point oftangency is equal to one half the anglebetween the radii to the ends of the chord.

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Geometry Proof. Please write the answer like column proofs(statements and reasons), so I can understand it better. help_outlineImage TranscriptioncloseExercises 3.19B • Angles Equal • 1. Prove that the angle between a tangent land a chord drawn from the point of tangency is equal to one half the angle between the radii to the ends of the chord. fullscreen
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Step 1

Draw the diagram using the given information.

Step 2

To prove: Then angle BPQ is equal to one half of the angle PCQ.

Step 3

Consider the Triangle PCQ.

Since PC and CQ both are radius then PC = CQ.

So, Angle CPQ = Angle CQP = x bec...

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