Question

two secants meet outside the circle, forming an angle of 42 degrees. if the larger intercepted arc is 120 degrees, find the smaller intercepted arc

Answer 1

36°

Explanation:

An angle whose vertex lies outside a circle whose sides are 2 secants of the circle is

angle =
`(1)/(2)` ( larger arc - smaller arc ), that is

42 =
`(1)/(2)` ( 120 - smaller ) ← multiply both sides by 2

84 = 120 - smaller, hence

smaller = 120 - 84 = 36°