Question

Please help me. thank you.

Answer 1

We know that WZ is a line, and all lines measure 180 degrees.

Therefore, Angle PWX + Angle PYX + Angle PYZ = 180 degrees. Plug in what we know:

$\sf 25\textdegree + 85\textdegree +x=180\textdegree$

Simplify:

$\sf 110\textdegree +x=180\textdegree$

Subtract 110 to both sides:

$\sf x=70\textdegree$

So angle PYZ is 70 degrees.

Angle ZX is equal to Angle PYX + PYZ.

$\sf 85\textdegree +70\textdegree =\boxed{\sf 155\textdegree}$