Question

Find the value of each variable. For the circle, the dot (point) represents the center.

Answer 1

The figure within the circle is a cyclic quadrilateral,

The opposite angles in a cyclic quadrilateral sum up to 180⁰

Hence,

p + 90⁰ = 180⁰

p = 180⁰ - 90⁰ = 90⁰

Also,

q + 52⁰ = 180⁰

q = 180⁰ - 52⁰ = 128⁰

Therefore, p = 90⁰ and q = 128⁰