For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Use the figure attached to answer the following questions. Part A: Explain why the central angle and the circumscribed angle are supplements. Part B: Classify each of the angles shown (∠R, ∠T, and ∠V) as either a central angle, an inscribed angle, or a circumscribed angle. Part C: If the arc overparen(SU) is 105∘, what is the measurement of the circumscribed angle?
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Use the figure attached to answer the following questions.
Part A: Explain why the central angle and the circumscribed angle are supplements.
Part B: Classify each of the
Part C: If the arc overparen(SU) is 105∘, what is the measurement of the circumscribed angle?
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