Answer:
1) m∠ZAY = 130°
2) m∠ZXY = 65°
3) m∠SVY = 35°
Step-by-step explanation:
1) the arc angle is the measure of the central angle which intercepts it so 130°
2)measure of the inscribed angle is 1/2measure of intercepted Arc so 1/2 of 130° is 65°
3) In this case two chords intersect inside a circle and four angles are formed
Angle Formed by Two Chords is 1/2*(Sum of Intercepted Arcs) so
m∠SVY = 1/2( m arc RX + m arc YS) = 1/2( 15+55) =1/2 * 70 =35°
