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the figure shows triangle pqr and line segment ab, which is parallel to qr:

triangle pqr has a point a on side pq and point b on side pr. the line ab is parallel to the line qr.

part a: is triangle pqr similar to triangle pab? explain using what you know about triangle similarity. (5 points)

part b: which line segment on triangle pab corresponds to line segment qr? explain your answer. (3 points)

part c: which angle on triangle pab corresponds to angle q? explain your answer. (2 points)

The answer to your question is below

Step-by-step explanation:

Part A. Yes Δ PQR and ΔPAB are similar because line AB and line QR are parallels, so

   ∠PAB and ∠PQR  measure the same

    ∠PQR and ∠ABP measure the same

    ∠QRP and ∠ARP measure the same

so these triangles are similar

Part B. The line segment on triangle PAB that corresponds to line QR is the line AB because lines QR and AB are parallels are are surrounded by angles that measure the same.

Part C. The angle in triangle PAB that corresponds to angle Q is angle A because these angles are corresponding.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

can you rephrase the question ? it is unclear : -)

step-by-step explanation: