Final answer:
The measure of angle PQR in degrees cannot be determined exactly with the given information, and its type depends on its actual measurement. Angles are measured in degrees, minutes, and seconds of arc.
Step-by-step explanation:
The student has asked two parts of a question regarding the measure of an angle ∠PQR and its type. To provide an accurate answer to the question about the measure of ∠PQR, we need specific information. However, we do know that angles are measured in degrees, and sometimes they are further broken down into minutes of arc and seconds of arc. One degree equals 60 minutes of arc, and one minute equals 60 seconds of arc. As for the type, angles fewer than 90 degrees are called acute angles, exactly 90 degrees are right angles, more than 90 but less than 180 degrees are obtuse angles, and angles that measure exactly 180 degrees are known as straight angles.
Based on the information provided, none of the given angles are exact, but the closest provided answer is 48.7° (option b). Without additional information, we cannot determine if this is acute, right, obtuse, or straight. Therefore, without further specifics, we can only determine that ∠PQR is an angle measured in degrees, and its type (acute, right, etc.) would depend on the exact measurement, which has not been given in the question.