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To measure the point at which two tangents intersect each other, find an equation for each tangent line and compute the intersection.

The tangent is the slope of a curve at a point. Knowing that slope and the coordinates of that point, you can determine the equation of the tangent line using one of the forms of a line such as point-slope, point-point, point-intercept, etc. Do the same for the other tangent. Solve the two equations as a system of two equations in two unknowns and you will have the point of intersection.

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Q: How to measure the point at which two tangents intersect each other?
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What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 200 degrees?

The angle between the two tangents is 20 degrees.


What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a minor arc whose measure is 80 degrees?

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What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a minor arc whose measure is 150 degrees?

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What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 243 and the minor arc measures 117?

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What is orthogonal trajectories?

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