GEOMETRY Please help me
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Answer:
First option.
Step-by-step explanation:
In this case you need to remember that an angle formed by two intersecting chords is equal to the sum of the intercepted arcs divided by 2. This is:
[tex]Angle\ formed\ by\ two\ intersecting\ chords=\frac{1}{2}(Sum\ of\ intercepted\ arcs)[/tex]
You can identify in the figure that the angle ∠1 is an angle formed by two intersecting chords. Therefore, since the intercepted arcs are SP and QR, you can say the following:
[tex]m\angle 1=\frac{1}2}(mSP+mQR)[/tex]
You can observe that this matches with the first option.