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An angle formed by a tangent and a secant measures half the difference of the intercepted minor arcs. |dw:1357630554767:dw|
m<a = ( m(arc)CD - m(arc)BD )/2 14 = ( m(arc)CD - m(ard(BD) )/2 m(arc)CD - m(arc)BD = 28 m(arc)CD + m(arc)BD = 112 ------------------------ 2*m(arc)CD = 140 m(arc)CD = 70 70 + m(arc)BD = 112 m(arc)BD = 42 = x An angle formed by a tangent and a chord that intersect on the circle is half the measure of the intercepted arc. y = (1/2)*m(arc)CD = (1/2)*70 = 35
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