Which formula would be used to find the measure of angle 1?




BEAFJI✔ GJHJIH
What are the measures of angles 1 and 2?
47100✔ 130 133
⇒ 58
116546
central angles theorem✔ inscribed angle theoremangle formed by secants or tangents theoremangle formed by two chords theorem
reflexive property✔ substitution propertysymmetric propertytransitive property
⇒ 194
116555
⇒ 250
116556
What is the measure of angle ABC?
What is the measure of angle AOC?
A satellite views the Earth at an angle of 20°. What is the arc measure, x, that the satellite can see?
Two tangents each intersect a circle at opposite endpoints of the same diameter. Is it possible for the two tangents to intersect each other outside the circle? Explain why or why not, using the information you learned in this lesson.
No, it is not possible for the two tangents to intersect. By definition, a tangent is perpendicular to the radius at the point of tangency. Since the tangents are at opposite endpoints of the same diameter, they are both perpendicular to the same line (the diameter). Therefore, the two tangent lines are parallel and will never intersect. Alternatively, the measure of the angle formed by two tangents is half the difference of the intercepted arcs. If the endpoints are a diameter, both arcs are 180 degrees, and half of (180 - 180) is 0, meaning no angle or intersection is formed.
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What are the measures of angles 1 and 2?
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