### Video Transcript

π΅πΆ is tangent to the circle π at
π΅. Find the measure of the angle
π΄π΅πΆ.

In order to calculate the angle
π΄π΅πΆ, we firstly need to consider the triangle π΄π΅π. The length π΄π is equal to the
length ππ΅ as they are both radii of the circle. This means that triangle π΄π΅π is
isosceles. As the triangle is isosceles, angle
ππ΄π΅ is equal to angle ππ΅π΄. Both of these angles are equal to
33 degrees.

As π΅πΆ is a tangent, then we can
see that π΅πΆ meets π΅π at 90 degrees. A tangent will always meet the
radius at 90 degrees. This means that π plus 33 must be
equal to 90. Subtracting 33 from both sides of
this equation gives us π equals 57.

This means that the measure of
angle π΄π΅πΆ is equal to 57 degrees.