Find x
Asked by Kanwarjamuna99
3rd October 2020,
8:54 AM
Answered by Expert
Answer:
In the circle with centre O, arc AB subtend an angle AOB at the centre and another angle ACB on the circumference of a cirle.
We know that the angle subtended by an arc at the centre is double the angle subtended by the same arc at any point on the circle
Therefore, angle AOB = 2 x angle ACB
i.e. angle ACB = 1/2 x angle AOB
i.e. angle ACB = 35o
Now, BOD is a straight line, so angle BOC is a straight angle
i.e. angle BOC = 180o
i.e. angle BOA + angle AOC = 180o
i.e. 70o + angle AOC = 180o
i.e. angle AOC = 110o
In triangle AOC, OC and OA are the radii of the circle, so they become equal
OC = OA
THerefore the angles opposite to these sides will be equal to each other
Therefore, angle OAC = angle OCA
i.e. angle OAC = angle ACB = 35o
Hence, measure of angle OAC = 35o
Answered by Expert
5th October 2020,
11:22 AM
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