Question

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given Angles are 40° , 60° , 10°​

Answer 1

Same arc intercepted, the angles are equal

• t = 10°
• u = 60°
• v = 40°

Cyclic quadrilateral has supplementary opposite angles

• s + v + 60° + 10° = 180°
• s + 40° = 110°
• s = 70°

And s and r intercept same arc, therefore:

• r = s = 70°