Question

Question #4

Find the measure of the indicated arc.
160 °
D
R
?
U
S
56°
T

Answer 1

D. 48

Explanation:

When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

56 = 1/2(160 - ?)

112 = 160 - ?

? = 160 - 112 = 48