Question

Mathematics question here.... PL tell​

Answer 1

Answer:

120°

Step-by-step explanation:

let arc AXB = a ; arc BYC = b ; radius = r

and let < AXB = p ; < BYC = q

given that....

a = b/2

but we know that. ..

arc lenth = radius × sector angle

( l = r @ )

hence ...

a = r p &. b = r q

now ...

a + b = r ( p + q )

π r = r ( q/2 + q ). ( semi-circle perimeter)

3 q/2 = π

q = (2/3) π = (2/3) 180° = 120°

therefore......

<BOC = 120°