Mathematics
The following figure shows a circle with diameter AB and center at point O.
If angle CAB = 35°, find the measure of angle ABC.
Circles
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Answer
We know that,
Angle in a semi-circle is a right angle.
So, angle ACB = 90°.
In ∆ ACB,
Using angle sum property,
⇒ ∠ABC + ∠ACB + ∠CAB = 180°
⇒ ∠ABC + 90° + 35° = 180°
⇒ ∠ABC + 125° = 180°
⇒ ∠ABC = 180° - 125°
⇒ ∠ABC = 55°.
Hence, angle ABC = 55°.
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