Question

question 3 of 10 given ⊙o below, if (overline{ab}) and (overline{cd}) are congruent, what is the measure of ∠cod? a. 20° b. 110° c. 70° d. 290°

Explanation:

Step1: Recall circle - chord property

In a circle, if two chords are congruent, then the central angles that subtend them are congruent.

Step2: Identify the central angles

$\angle AOB$ and $\angle COD$ are the central angles subtending congruent chords $\overline{AB}$ and $\overline{CD}$ respectively.

Step3: Determine the measure of $\angle COD$

Given $\angle AOB = 70^{\circ}$, since $\angle AOB\cong\angle COD$, then $\angle COD = 70^{\circ}$.

Answer:

C. 70°