In the pricture ac is the diameter of the circle and bc is a point on the circle . triangle 70° . find the other two angles of triangle ABC.
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In the given figure AOB is a diameter of the circle and AC=BC The ∠CAB is
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Correct option is
C
45
∘
⇒ In △ABC,
⇒ ∠BCA=90
o
[ Angle inscribed in semi-circle ]
⇒ AC=BC [ Given ]
∴ ∠ABC=∠CAB [ Opposite angles of equal sides are equal ]
∴ ∠CAB+∠ABC+∠BCA=180
o
∴ ∠CAB+∠CAB=90
o
=180
o
∴ 2∠CAB=180
o
−90
o
∴ 2∠CAB=90
o
∴ ∠CAB=45
o
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