Question

(G.11a, 1 point) Points A, C, D, and E are on circle P. 136° 1340 Ε E If arc AD measures 136° and 2 ABD measures 134º, what is the measure of arc CE? o A 152 O B. 67 o C. 116 D. 132

Answer 1

D. 132º

1) Given that in this circle crossed by two secant lines we can state the following Theorem:

2) then we can write:

$\begin{gathered} m\angle ABD=\frac{AD\text{ +CE}}{2} \\ 134=\frac{136+CE}{2} \\ 134\text{ }\times2=136+CE \\ 268=136+CE \\ CE\text{ =268-136} \\ CE=132 \end{gathered}$

So the measure of the arc CE = 132º (D)