Question

PLEASE HELP ASAP

Answer 1

Angle A = 90° [ Angle suspended by chord passing through the centre or diameter ]

A + x + 47 = 180 [ Angle sum property of triangle ]

x = 43°

Now , x = y ( Angle in the same segment )

Therefore , y = 43° Ans.

Hope it helps you! :)

Answer 2

There's a lot of different approaches to this question, but the easiest one I see is this:

If a chord goes through the center of the circle, it is a diameter. That's 180 degrees we don't have to worry about. 47 is an inscribed angle, so we can multiply it by two to get 94 degrees. Subtract 94 from 180 to get 86.

See y? It's also an inscribed angle. To get it, we just take the 86 we just found for the remaining arc and divide by two.

The measure of y is 43.