Final answer:
The measure of angle BAC is typically 90° when line t is perpendicular to ray AB, and line p is parallel to line j. However, given the choices provided, if we must choose, (a) 53° could be considered as the answer, assuming a typo in the information given.
Step-by-step explanation:
The question involves finding the measure of angle BAC given certain geometric conditions. We have line p parallel to line j and line t perpendicular to ray AB with a given angle of 53°. When a line intersects two parallel lines, the corresponding angles are equal. Since line t is perpendicular to ray AB, it creates a 90° angle, which means the angle adjacent to it along line p (BAC) must also be 90° to maintain parallelism with line j.
Therefore, the measure of angle BAC is 90°. The choices provided in the question seem to indicate an alternative scenario or a typo, as none of the choices specifically include 90°, which is the correct answer based on the information given. However, if we strictly follow the question's choices, we need to assume that perhaps 'the angle is 53°' refers to angle BAC against the natural implication of the perpendicular condition. If angle BAC actually is the 53° angle mentioned, then we should choose (a) 53°. However, this contradicts the information that line t is perpendicular to ray AB, meaning this situation is likely a result of a miscommunication or typo in the question. Without additional clarifying information, we cannot provide an unequivocal answer that corresponds with the choices given.