Question

Solve for the measure of the indicated arc.

O 127°
165°
164°
157°
52 °
K
53°
L
M
C

Answer 1

? = 157°

Explanation:

the measure of the secant- secant angle KLM is half the difference of the intercepted arcs , that is

`(1)/(2)` (CJ - KM) = ∠ KLM , that is

`(1)/(2)` (? - 53) = 52° ( multiply both sides by 2 to clear the fraction )

? - 53° = 104° ( add 53° to both sides )

? = 157°