Question

in circle c with the measure of minor arc \\(\overarc{bd} = 36^\circ\\), find \\(m\angle bed\\).

answer attempt 1 out of 3

\\(m\angle bed = \square^\circ\\)

Explanation:

Step1: Recall Inscribed Angle Theorem

The measure of an inscribed angle is half the measure of its intercepted arc. Here, $\angle BED$ is an inscribed angle intercepting arc $BD$.

Step2: Apply the Theorem

Given $m\overarc{BD} = 36^\circ$, then $m\angle BED=\frac{1}{2}m\overarc{BD}$.
Substitute the value: $m\angle BED=\frac{1}{2}\times36^\circ = 18^\circ$.

Answer:

$18$