Point O is the centre if the circle . Find the value of angle ACP if angle POB=90°
O isthe centre of circle
Angle POB =_____
ANGLE AOP =90. (_______)
MAJOR OF ARC ADP =_______
ANGLE ACP=______
Fill in the blanks
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Answer:
We know that ∠ACB=∠PCB
In △PCB
Using the angle sum property
∠PCB+∠BPC+∠PBC=180
We know that ∠APB and ∠BPC are linear pair
By substituting the values
∠PCB+(180-110)+25
=180
On further calculation
∠PBC+70+25
=180
∠PCB+95
=180
By subtraction
∠PCB=180
o
−95
So we get
∠PCB=85
We know that the angles in the same segment of a circle equal
∠ADB=∠ACB=85
Therefore, the value of ∠ADB is 85
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