Angles formed by lines meeting a circle
Answers are for parents and teachers.
1
A tangent–chord angle contains an arc of 150°. How many degrees is the angle?
75
2
Two chords intersect with arcs 84° and 116°. How many degrees is the angle?
100
3
Two secants enclose arcs of 150° and 60°. How many degrees is the angle between them?
45
4
Two tangents form a 40° angle. How many degrees is the larger arc between the points of tangency?
220
5
Pick one of the four theorems and state it in your own words.
For example: the angle between two tangents is 180° minus the smaller arc between the points of tangency.