What is the measure of an angle formed by two tangents drawn from a point outsid

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Question: What is the measure of an angle formed by two tangents drawn from a point outside a circle?

Options:

Correct Answer: Half the difference of the intercepted arcs.

Solution:

The angle formed by two tangents from a point outside a circle is half the difference of the measures of the intercepted arcs.

What is the measure of an angle formed by two tangents drawn from a point outside a circle?

What is the measure of an angle formed by two tangents drawn from a point outside a circle?

Step 1: Identify the point outside the circle from which the two tangents are drawn.
Step 2: Draw the two tangents from the point to the circle, touching the circle at two points.
Step 3: Identify the two arcs on the circle that are intercepted by the tangents.
Step 4: Measure the angles of the two intercepted arcs. Let's call them Arc A and Arc B.
Step 5: Calculate the difference between the measures of Arc A and Arc B. This is (Arc A - Arc B).
Step 6: Take half of the difference calculated in Step 5. This gives you the measure of the angle formed by the two tangents.

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