Question

Solve for measure of angle a.

a
14°
66°
a = [ ? ]°
If 2 secant lines intersect outside a circle: C-6
2

Answer 1

∠ a = 26°

Explanation:

the secant- secant angle a is half the difference of the measures of the intercepted arcs, that is

∠ a =
`(1)/(2)` (66 - 14)° =
`(1)/(2)` × 52° = 26°