Question

I need help with these questions (see image). Please show workings.​

Answer 1

Answer:

• Inscribed angle is half of the intercepted arc.
• Central angle is the same size as the intercepted arc.

As per above two statements we have:

• y = 2*58° = 116°

and

• z = 90°/2 = 45°

Answer 2

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral