Question

6 multiple answer 1 point
which of the following angles measures $33^\circ$? select all that apply.
$\angle a$
$\angle aed$
$\angle d$
$\angle c$

Explanation:

Step1: Identify inscribed angle rule

Inscribed angles subtended by the same arc are congruent. $\angle ABD$ and $\angle ACD$ subtend arc $AD$.

Step2: Match equal angles

$\angle ABD = 33^\circ$, so $\angle ACD$ (which is $\angle C$) is also $33^\circ$.

Step3: Check other angles

$\angle A$ and $\angle D$ subtend different arcs, so they are not equal to $33^\circ$. $\angle AED$ is a vertical angle pair with $\angle BEC$, and its measure is not $33^\circ$.

Answer:

$\angle C$