Final answer:
The measure of angle °QRP is 73 degrees, calculated by subtracting the sum of angles °QPR (90 degrees due to perpendicular lines) and °RPQ (17 degrees), from the total sum of angles in a triangle, which is 180 degrees.
Step-by-step explanation:
The student is asking about the measure of an angle named °QRP, given that lines PQ and QR are perpendicular and the measure of angle °RPQ is 17 degrees. Since PQ and QR are perpendicular, angle °QPR, being the angle between these lines, is 90 degrees. To find the measure of angle °QRP, one can use the fact that the sum of angles in a triangle equals 180 degrees. Hence, the measure of angle °QRP will be 180 degrees minus the sum of the other two angles, which is 90 degrees (from the perpendicular lines) and 17 degrees (°RPQ).
°QRP = 180 degrees - (°QPR + °RPQ)
= 180 degrees - (90 degrees + 17 degrees)
= 180 degrees - 107 degrees
= 73 degrees.
Therefore, the measure of angle °QRP is 73 degrees.