Question

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

Question : Findthe size of the angles marked by letters in the following diagram.
See image for diagram.​

Answer 1

• Angles r and 110 are opposite angles of a cyclic quadrilateral.
• Opposite angles of a cyclic quadrilateral are supplementary.
• Central angle is twice the size of the inscribed angle (if same arc intercepted).

As per above properties we have:

• r + 110 = 180°
• r = 70°

and

• s = 2r = 2*70° = 140°