Question

X= a) 37 b) 74 c) 143

Answer 1

The answer is c 143.ok bye

Answer 2

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.

$\angle A=\frac{x+5+x-5}{2}\\\\\angle A=\frac{2x}{2}\\\\\angle A=x$

And ∠A and ∠B are linear pair.

so, it becomes,

$\angle A+\angle B=180^\circ\\\\x+37^\circ=180^\circ\\\\x=180^\circ-37^\circ\\\\x=143^\circ$

Hence, Option 'C' is correct.