Question

In a circle with centre of the measure of a minor arc is 127°. a What is the measure of the * major arc?

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Answer 1

$Measure \: of \: Minor \: Arc \\ = 360°$

$Major \: \: Arc = 360° - 127° \\ \\ = 233°$

Answer 2

Suppose PQ is the minor arc and then m(arc PQ) = 110∘.

We know that, measure of major arc = 360∘ − measure of corresponding minor arc.

∴ m(arc PYQ) = 360∘ − m(arc PQ)

= 360∘ − 110∘

= 250∘

Hence, the measure of major arc PYQ is 250∘.