Question

AB is a minor arc in a cilcle with centre P . R is the point on the major arc except A and B. if angle APB= 150, the. angle ARB = ____​

Answer 1

Answer:

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refer the reference diagram uploaded above

Step-by-step explanation:

so here angle apb is our central angle

so we know that

measure of arc intercepted by the central on the opp.side on circumference of circle is of same measure as that of central angle

angle apb=m(arc ab)=150 degrees

so here angle arb intercepts arc ab on circumference of circle

so by inscribed angle theorem

we get

angle arb=1/2×m(arc ab)

=1/2×150

=75 degrees

so thus

angle arb=75 degrees