Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Two measures of arc are given by
PR = (x+5), and SQ = (x-5).
By intersecting chords theorem, the measure of angle is half of the sum of the measures of arcs.
[tex]\angle A=\frac{x+5+x-5}{2}\\\\\angle A=\frac{2x}{2}\\\\\angle A=x[/tex]
And ∠A and ∠B are linear pair.
so, it becomes,
[tex]\angle A+\angle B=180^\circ\\\\x+37^\circ=180^\circ\\\\x=180^\circ-37^\circ\\\\x=143^\circ[/tex]
Hence, Option 'C' is correct.
