In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100

In circle O, AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25º. What is the measure of BC? 80 110 90 100 class=

Answer :

100. the diameter means the other half, so arc AD is 180 on both sides. so that means we can do 180-(25+55), which equals 100
pradipn

Answer:

Arc AB = 55°

Angle AOB = 55° ( Centre angle is equal to respective arc )

Arc CD = 25°

Angle COD = 25° ( Centre angle is equal to respective arc )

Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)

55° + Angle BOC + 25° = 180°

Angle BOC + 80° = 180°

Angle BOC = 100°

Other Questions