Seth is using the figure shown below to prove the pythagorean theorem using triangle similarity:

in the given triangle pqr, angle p is 90° and segment ps is perpendicular to segment qr.

! the figure shows triangle pqr with right angle at p and segment ps. point s is on side qr.

part a: identify a pair of similar triangles. (2 points)

part b: explain how you know the triangles from part a are similar. (4 points)

part c: if rs = 4 and rq = 16, find the length of segment rp. show your work. (4 points)

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

i think da answer is

d.square root of 3