Q) In the figure given below, O is the circumcentre of triangle ABC in which AC = BC - Maths - Circles

Question

Q) In the figure given below, O is the circumcentre of triangle ABC
in which AC = BC Given that ∠ A C B = 56 ° Calculate (i)
∠ CAB (ii) ∠ OAC

Brijendra Pal · Accepted Answer

Hi,

Since AC = Bc so
angle A = angle B
So angle A+angle A +angle C = 180
2angle A = 180-56 = 124
angle A = 62 degree
angle B = 62 degreeNow we know that angle at the center is double that of at circumeferenceangle AOC =2×angleB=  2×62 =124 degreeNow in triangle OACOA = OC = radius so angle OAC = 12180-124= 28 degree angle B = 62 degreeNow we know that angle at the center is double that of at circumeferenceangle AOC =2×angleB=  2×62 =124 degreeNow in triangle OACOA = OC = radius so angle OAC = 12180-124= 28 degree 
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Q). In the figure given below, O is the circumcentre of triangle ABC in which AC = BC. Given that ∠ A C B = 56 ° . Calculate (i) ∠ CAB (ii) ∠ OAC.

Q). In the figure given below, O is the circumcentre of triangle ABC in which AC = BC. Given that $∠ A C B = 56 °$ . Calculate (i) $∠$ CAB (ii) $∠$ OAC.