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natali 33 [55]
3 years ago
6

In circle Q, ∠RQS ≅ ∠SQT. Which statement must be true? ≅ ∠RQT ≅ ∠RST RQ ⊥ QT RS ≅ ST

Mathematics
2 answers:
Alex3 years ago
8 0
RS<span> ≅ </span><span>ST is the correct answer</span>
Studentka2010 [4]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that in a circle Q, angle RQS= Angle SQT

Since central angles of two arcs are equal, by circle theorem we have the corresponding chords are equal

Hence RS =ST

REcall the theorem

Theorem 1: Equal chords of a circle subtend equal angles at the center

and also the converse

2. Theorem 2: This is the converse of the previous theorem. It implies that if two chords subtend equal angles at the center, they are equal.

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