(sat prep) an airplane has leveled off (is flying horizontally) at an altitude 12000 feet. when the airplane is at point p its pilot can see each of two small towns at points r and t in front of the plane. with angle measures as indicated find m∠prt, m∠t and m∠rpt.

m∠PRT = 114°

m∠T = 37°

m∠RPT = 29°

Step-by-step explanation:

This question is incomplete (without a picture) ; here is the picture attached.

In this picture, an airplane is at an altitude 12000 feet.

When the plane is at the point P, pilot can observe two towns at R and T in front of plane.

We have to find the measure of ∠PRT, ∠T and ∠RPT.

Form the figure attached segment PS is parallel to RT and PR is a transverse.

We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.

Therefore, x + 66 = 180

x = 180 - 66 = 114°

∠PRT = x = 114°

m∠RPT = m∠SPR - m∠SPT

             = 66 - 37

             = 29°

Since m∠PRT + m∠T + m∠RPT = 180°

114 + ∠T + 29 = 180

143 + ∠T = 180

∠T = 180 - 143

∠T = 37°

51-50

step-by-step explanation: