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This geometry math tutorial from NutshellMath offers targeted homework help on finding angle measures in figures involving 2 tangents and a circle. The instruction is focused on problems 5, 24, 25 and 27 on pages 624 and 625 in the Geometry: Applying, Reasoning, Measuring text from McDougal Littell.
Tangents are lines that intersect a circle at only one point. Any two tangents to a circle will intersect to form an angle somewhere outside the circle, provided the tangents are not of opposite sides of a diameter of the circle. Such tangents will be parallel and will not cross. The problems covered by this tutorial involve finding the measures of angles created by the intersection of two tangent lines.
The first step in solving problems of this type is to determine the measure of the two arcs created by the points of tangency. When given one arc measure, the other can be found as the difference between the 360 degrees of the circle and the given measure. Often figures will include multiple arc measures, and finding the proper arc measure between two tangents may involve adding several arcs together to find the whole.
Once these measures are known, the angle created by the tangents can be found. This angle is equal to half the difference of the larger and smaller arcs between the tangents. To find it, simply use the arc measures to evaluate the angle measure using the formula. Using this simple formula, it is possible to find the measure of the angle between two tangents.
This relationship can be used to solve homework problems involving two tangents, including those that might ask for an unknown arc measure given one arc and an angle.
This geometry math tutorial from NutshellMath offers targeted homework help on finding angle measures in figures involving 2 tangents and a circle. The instruction is focused on problems 5, 24, 25 and 27 on pages 624 and 625 in the Geometry: Applying, Reasoning, Measuring text from McDougal Littell.
Tangents are lines that intersect a circle at only one point. Any two tangents to a circle will intersect to form an angle somewhere outside the circle, provided the tangents are not of opposite sides of a diameter of the circle. Such tangents will be parallel and will not cross. The problems covered by this tutorial involve finding the measures of angles created by the intersection of two tangent lines.
The first step in solving problems of this type is to determine the measure of the two arcs created by the points of tangency. When given one arc measure, the other can be found as the difference between the 360 degrees of the circle and the given measure. Often figures will include multiple arc measures, and finding the proper arc measure between two tangents may involve adding several arcs together to find the whole.
Once these measures are known, the angle created by the tangents can be found. This angle is equal to half the difference of the larger and smaller arcs between the tangents. To find it, simply use the arc measures to evaluate the angle measure using the formula. Using this simple formula, it is possible to find the measure of the angle between two tangents.
This relationship can be used to solve homework problems involving two tangents, including those that might ask for an unknown arc measure given one arc and an angle.