Jake wants to prove the theorem that says that the measure of the quadrilateral's opposite angles add to 180. He knows that the measure of angle R is half the measure of are STU and that the measure of angle Tis half the measure of arc SRU. Which of the following is an appropriale step to prove that R+T180? Yes No Assume that the measure of arc STU is 140 and that the measure of arc SRU is 220. DO Assume that the measure of arcs STU and SRU add up to 360. Substitute 2 mcR for arc STU Substitute mT for arc SRU.
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.
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