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Answers
If you know about the linear pair than you able to find out the angle AOC which is equals to 120 Degree
Angle AOC + Angle AOB = 180 (linear pair)
if angle AOB = 60
than Angle AOC = 180 - 60 = 120 Degree
if know heard about the half angle theorem or else if you know about the theorem in which the angle in the semi-circle is 90 degree , than in Triangle ABC which is in a semi-circle as BC is a diameter, So angle BAC = 90 degree
If you heard about the half- angle theorem than ACB = half(angle AOB) = 30 degree
So in Triangle ABC
BAC = 90 Degree
ACB = 30 Degree,
than Angle ABC = 60 (sum of the angles of the triangle is 180)
I hope you will satisfy from my answer thank you
O is the centre of the circle and angle AOC =120. What is the angle ABC?
If O is the centre of the circle, and angle AOB = 60, what is the measurement of angles AOC and ABC?
If in the circle with centre O and AOB as diameter,C is any point on it's circumference, then what will be the value of cos2∠CAO+sin2∠CBO ?
In figure 1, PQ is a chord of a circle with centre O and PT is a tangent. If angle QPT=60°, find angle PRQ.?
What is the angle BOC if in ∆ABC, the angle bisectors of angle B and C meet at O, and if angle A = 60°?
angle AOB+angleAOC=180(sum of all angle in a stright line is 180)
angleAOC=180–60
angle AOC=120
in this question angle BAC= 90 digree because the angle in circamference of half circle should be 90 digree.
sides AO,OB&OC are equal because these are the radious of circle.
angle OAB&OBA are equal(OB=OA),now in tringle AOB
let angle ABO=x=angle ABC,
angle ABO=angle BAO
x+x+angleAOB=180 (sum all angle in tringle is 180)
2x=180–60
x=60 digree=angle ABC
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where is C?
O is the centre of the circle and angle AOC =120. What is the angle ABC?
If O is the centre of the circle, and angle AOB = 60, what is the measurement of angles AOC and ABC?
If in the circle with centre O and AOB as diameter,C is any point on it's circumference, then what will be the value of cos2∠CAO+sin2∠CBO ?
In figure 1, PQ is a chord of a circle with centre O and PT is a tangent. If angle QPT=60°, find angle PRQ.?
What is the angle BOC if in ∆ABC, the angle bisectors of angle B and C meet at O, and if angle A = 60°?
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that m∠C+m∠D=k⋅m∠AOB , then what is the value of k?
In a circle with centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are joined. If <AOB = 130°, then <BDC is equal to. what is the of it?
Answer:
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