The ramp in the picture makes an angle of 73° with the doorpost. what is the measure of the angle ∠qpr, between the ramp and the ground? a) 17° b) 23° c) 27° d) 31°

A.  ∠ QPR = 17°

Step-by-step explanation:

From the given information, let QP be the length of the ramp.

Then, ∠ QPR is the angle between the ramp and the ground.

∠ PQR is the angle between the ramp and the doorpost and

∠ QRP is the angle between the doorpost and the ground.

Clearly, ∠ PQR = 73° (given)

∠ QRP = 90° (since doorpost and the ground are perpendicular to each other)

Now, use triangle sum propoerty of ΔQPR, we get,

∠ QPR + ∠ PQR + ∠ QRP = 180°

∠ QPR + 73 + 90 = 180°

∠ QPR + 163 = 180°

∠ QPR = 180 - 163

∠ QPR = 17°

c. 4 and 1/2 pounds is the answer! : )