### Video Transcript

In the given figure, find the
measure of arc π΄πΆ plus the measure of arc π΅π·.

Letβs see what we know. By looking at the figure, we can
see that line segment π΅π΄ and line segment πΆπ· are chords that intersect inside a
circle, which means we can think about the angles of intersecting chords
theorem. Which tells us that the measure of
angle one is equal to one-half the measure of arc ππ plus the measure of arc
ππ
. In our figure, weβre interested in
the measure of arc π΄πΆ plus the measure of arc π΅π·.

Based on what we know about
intersecting chords in a circle, we can say that 112 degrees is equal to one-half
times the measure of arc π΄πΆ plus the measure of arc π΅π·. And if we multiply both sides of
this equation by two, we would have 224 degrees is equal to the measure of arc π΄πΆ
plus the measure of arc π΅π·. And thatβs what weβre looking for,
the measure of arc π΄πΆ plus the measure of arc π΅π·, which is 224 degrees.