Question

Q. 5 arc ABC is inscribed with <ACB with O be the center of circle then if
m<ACB = 34° then m ( arc ACB ) = ?
A) 17°
B) 34°
C) 1920
D) 144°​

Answer 1

Answer:

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and refer the reference diagram uploaded above for better understanding

Step-by-step explanation:

so here

arc ABC is inscribed with <ACB

also m<ACB = 34 (given)

so here angle acb intercepts arc ab on circumference of adjoining circle

thus by inscribed angle theorem

we get

angle acb=1/2×m(arc ab)

ie m(arc ab)=34×2

so m(arc ab)=68 degrees

so then we know that measure of any major arc=

360-measure d its minor arc

ie m(measure arc acb)=360-m(arc ab)

=360-68

=292 degrees

hence measure of arc acb is 292 degrees