Question

X=

a) 37
b) 74
c) 143

Answer 1

the answer is c 143.ok bye

Answer 2

Answer: Option 'C' is correct.

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=(x+5+x-5)/(2)\\\\\angle A=(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.