The correct answer is ∠CAB which is congruent to∠ BAD.
What is the isosceles triangle?
The triangle BDC is an isosceles triangle and is located inside a circle. Since the sides of the triangle BC and BD are congruent ie. equal, the sectors of the circle they travel along are congruent also.
The triangle BDC is an isosceles triangle and is located inside a circle.
Since the sides of the triangle BC and BD are congruent ie. and equal.
BC = BD,
The sectors of the circle they travel along are congruent also.
Also for ΔBAC and ΔBAD,
AD=AC = Radius of circle
AB = BA ( common side)
Hence, ΔBAC is congruent to ΔBAD by SSS criteria.
The triangle BDC is an isosceles triangle and is located inside a circle.
Since the sides of the triangle BC and BD are congruent ie. equal, the sectors of the circle they travel along are congruent also.
Accordingly, the central angles of the sectors are congruent as well; and that means that BAD is congruent to CAB.
Therefore, by cpct, ㄥBAD is congruent to ㄥBAC or ㄥCAB.
Learn more about triangles here;
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