please answer the question!
Answers
Answer:
40 degrees
Step-by-step explanation:
firstly we need to notice that the traingle AOB touch all the three points of the circle and that C is the centre of the circle....
also make use of circle theorem to recognize that : The angle subtended by an arc at the center is double the angle subtended by it at any point that touches the circle...
meaning that the angle ACB is twice that of the angle at AOB
method to be used:
since a triangle has a total of 180 degrees... we can notice that the triangle ACB is an isosceles triangle .. therefore both sides have the same angle therefore :
CBA = CAB
hence CBA = 50 degrees...
now to get ACB by saying 180 - 50-50 = 80degrees..
by using circle theorem we can determine AOB which is
80/2 = 40degrees