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Ahat [919]
3 years ago
14

Given that ΔPQR is similar to ΔPTS, which statement MUST be true? A) m∠PST = m∠QPR B) m∠TPS = m∠RPQ C) m∠SPT = m∠PTS D) m∠PRQ =

m∠PTS
Mathematics
2 answers:
Andrei [34K]3 years ago
8 0

Answer: B, angle TPS is equal to angle RPQ. I have taken the assement and it is the correct answer.

Step-by-step explanation:

galina1969 [7]3 years ago
7 0

Answer:

The correct option is B.

Step-by-step explanation:

Two triangle are similar if their corresponding sides are in the same proportion or the corresponding angles are same.

It is given that the ΔPQR is similar to ΔPTS. It means all corresponding angles are same.

\angle R=\angle S

\angle Q=\angle T

\angle P=\angle P

Angle P can be defined as

\angle QPR=\angle TPS

\angle RPQ=\angle TPS

Therefore option B is correct.

\angle PST\neq\angle QPR

\angle SPT\neq\angle PTS

\angle PRQ\neq\angle PTS

Therefore option A, C and D are incorrect.

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