In the given figure AOB is the diameter of the circle and AC=BC. Find angle CAB?
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Answer:
Answer is 90
Step-by-step explanation:
because when diameter form angle on any point of circle then it form 90
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Given: AOB is the diameter of the circle
∠ACB = 90°
AC = BC
Now, according to the property, we know that angles opposite to equal sides are equal
Therefore, ∠CAB = ∠CBA
We have to find ∠CAB
We also know that, sum of angles of a triangle is 180°
So, ∠ACB + ∠CAB + ∠CBA = 180°
90 + 2∠CAB = 180
2∠CAB = 90
∠CAB= 45°
Hence, measure of ∠CAB is 45°
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