Question

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

Answer 1

The answer would be the first one, (measure 1 is equal to 1/2(SP + QR)). You would just use the formula for intercepted arcs. 

Answer 2

`m\angle 1=(1)/(2) (m(SP)+m(QR))`

Explanation:

The first choice is the right answer because it uses the right theorem, which states that "when two chords intersect inside a circle, the angle formed is half of the sum of the subtended arcs".

Applying the theorem to this problem, the angle for is
`\angle 1` and the arcs are SP and QR.

Therefore, the right answer here is the first choice.