Question

∟BAC = x
∟OBC =∟OCB = y, Prove that x+y = 90

Answer 1

Step-by-step explanation:

For OBC triangle,

<BOC+<OBC+<OCB=180°

<BOC=180°-2y[<OBC=<OCB=y]

Bor BC arc,

<BOC is a central angle and <BAC is an inscribed angle.

now,<BAC=1/2(<BOC)

x=1/2(180°-2y)

x=90°-y

x+y=90°