Respuesta :

Answer:

168°

Step-by-step explanation:

∠QRS is an angle formed by 2 chords of the circle and is half the measure of its intercepted arc QS, that is

m QS = 2 × 84° = 168°

Applying the inscribed angle theorem, the measure of arc QS is: 168°.

What is the Inscribed Angle Theorem?

According to the inscribed angle theorem, the measure of an inscribed angle in a circle equals half of the measure of the intercepted arc.

Based on the inscribed angle theorem,

arc QS = 2(m∠QRS)

arc QS = 2(84)

arc QS = 168°

Therefore, applying the inscribed angle theorem, the measure of arc QS is: 168°.

Learn more about the inscribed angle theorem on:

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