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Choose an equation for the relationship between the measures of the angles and arcs.

Choose an equation for the relationship between the measures of the angles and arcs-example-1

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Inscribed angles (angles on the line of the circle) are one half of its opposite arcs.
Therefore m <2 = 1/2 (mST), the 2nd one down (or middle) answer.
For example, if ST were 80°, then m <2 would be 40°.
User Rafael Barbosa
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Because ∠2 is a diameter away from arc ST, ST is two times larger than ∠2. So, the answer is:

m∠2 = 1/2(mST)
User Baskar
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