I have no clue how to start this problem,plz help

Mathematics

1 answer:

Maksim231197 [3]3 years ago

6 0

9514 1404 393

Answer:

109°

Step-by-step explanation:

You always start a problem by taking a careful look at the information given and how it relates to what is asked. Here, the key information is in the symbols marking the lines PQ and RS. They are parallel.

This means segments QR and PS are transversals. Marked angle 41° will be an "alternate interior angle" with angle TPQ, so angle TPQ is also 41°.

The desired angle, PTR, is an exterior angle to ΔQTP, so its measure is the sum of remote interior angles TQP (68°) and TPQ (41°). That is, ...

∠PTR = ∠TQP +∠TPQ = 68° +41°

∠PTR = 109°

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