measure of an angle formed by two intersecting chords

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Problem

measure of an angle formed by two intersecting chords

Step-by-step solution

The angle formed by two intersecting chords is half the sum of the intercepted arcs. The intercepted arcs are $131^\circ$ and $43^\circ$. So, $\angle RST = \frac{131^\circ + 43^\circ}{2} = \frac{174^\circ}{2} = 87^\circ$.

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Answer

$87^\circ$