Answered

Find the best solutions to your problems with the help of IDNLearn.com's expert users. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

(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

G11a 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 class=

Sagot :

D. 132º

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

2) then we can write:

[tex]\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}[/tex]

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

View image JamoniY739791
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.