If P is the circum center in Delta ABC ang BPC 30 deg then what is the value in degrees of ang BAC ........

Quantitative Aptitude (CPO) Geometry

If P is the circum-center in ΔABC, ∠BPC = 30°, then what is the value (in degrees) of ∠BAC?

None of these

- The problem involves finding the measure of angle ?BAC in a triangle where P is the circumcenter.

- A property of the circumcenter is that it is equidistant from all vertices of the triangle.

- Given that ?BPC = 30°, we use the relation: ?BPC = 2 * ?BAC, a fact derived from circle geometry (angle subtended by arc at center is double).

- Solving 2 * ?BAC = 30° gives ?BAC = 15°.

- None of these options (1, 30°), (2, 60°), (3, 75°) match 15°.

- Answer is Option: 4 – None of these

- The given answer is correct,

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