Question

Find the answer of question number 11

Answer 1

angle BOC= 180-100= 80 degrees.

Rule: If two angles share a common arc, then the angle lying on the circle is half of the central angle.

.

Angles BOC and BDC share a same arc BC. Angle BDC lies on the circle. Hence, angle BDC is half of the central angle BOC.

angle BDC= angle BOC /2 = 80/2 = 40 degrees.