if AB is a diameter and ∠ADC=124°, then ∠BAC=
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☆Answer:
35°
☆explanation:
☞ Given,
In circle with centre O, as AOB is diameter,
==> angle BAC = 90°
[ Angle in a semicircle ]
Now , in cyclic quadrilateral ABCD,
Angle ADC + ABC = 180° [ opposite angles of a cyclic quadrilateral are supplementary ]
==> 124° + angle ABC = 180
==> Angle ABC = 180° - 124°
==> angle ABC = 54°
Thus, in ABC , using Angle Sum Property of angle ,
angle ABC + angle BCA + angle BCA = 180°
==> 54° + 90° + angle BCA = 180°
==> 144° + angle BCA = 180°
==> angle BAC = 180° - 144°
the value of Angle BAC is 34
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