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Ad libitum [116K]
2 years ago
12

X= a) 37 b) 74 c) 143

Mathematics
2 answers:
nordsb [41]2 years ago
7 0
The answer is c 143.ok bye
zepelin [54]2 years ago
6 0

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.

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