50 likes | 247 Views
Tangent & Secant Lines Angles OUTSIDE the Circle. Diameter and Tangent Line. Semicircle is 180 °. If DE is 60, then EB is 180 – 60 = 120°. DE = 60 °. 120°. Angle outside circle = ½ (120 – 60). EB = ___. ½ (60) = 30 °. B. C. A=___. 30°. D. 120 °. 60 °. A. E.
E N D
Diameter and Tangent Line Semicircle is 180°. If DE is 60, then EB is 180 – 60 = 120° DE = 60° 120° Angle outside circle = ½ (120 – 60) EB = ___ ½ (60) = 30° B C A=___ 30° D 120° 60° A E
Central Angle and Two Tangents QR = 100° • Angle QOR is a central angle. • Arc QSR is a major arc. Arc QRS = 360 – 100 = 260° Q P O S 260° QSR = ____ P = ____ R
Central Angle and Two Tangents • Angle P is made out of two tangents. • Tangent Angle = ½ (QSR – QR) • Angle P = ½ (260 – 100) = • ½ (160 ) = 80° Q P 260° 100° O S 260° QSR = ____ P = ____ R 80°