Question

Y
Find the value of z.
193⁰
X
80⁰
N
z = [?]°
112°

Answer 1

z = 87°

Explanation:

the figure inscribed in the circle is a cyclic quadrilateral , since the 4 vertices are on the circumference of the circle.

• the opposite angles of a cyclic quadrilateral sum to 180°, that is

z + 93° = 180° ( subtract 93° from both sides )

z = 87°