Question

Shown are two similar polygonsFind the values of x, y, and z.

Answer 1

Given:

The given two polygones are similar.

That means their corresponding angles and sides are congruent.

It gives,

`\begin{gathered} (18)/(16)=(y)/(18)=(12)/(x) \\ (18)/(16)=(y)/(18) \\ y=20.25 \\ (18)/(16)=(12)/(x) \\ x=10.7 \end{gathered}`

Also, we know the sum of all angles of triangle is 180 degree.

`\begin{gathered} 112^(\circ)+32^(\circ)+a^(\circ)=180^(\circ) \\ a^(\circ)=36^(\circ) \end{gathered}`

It gives,

`z^(\circ)=36^(\circ)`

Answer:

`\begin{gathered} x=10.7 \\ y=20.25 \\ z=36 \end{gathered}`