Answer:
48
Step-by-step explanation:
Given is an isosceles triangle:
[tex] \angle Y \cong \angle Z (isosceles \: \triangle \: theorem) \\
m\angle Z = m\angle Y=x\\
\therefore 84\degree + x\degree +x\degree = 180\degree \\
\therefore 84\degree + 2x\degree = 180\degree \\
\therefore 2x\degree = 180\degree - 84\degree \\
\therefore 2x\degree = 96\degree \\\\
\therefore x\degree = \frac{96\degree}{2} \\\\
\therefore x\degree = 48\degree \\
\therefore x = 48 \\
[/tex]
