Question

What are the values of x, y, and z?

Answer 1

Calculate the value of x.

Apply the angle sum theoram to find the third angle of the triangle implies,

$\begin{gathered} \text{Third angle=180-(}45+66) \\ =69 \end{gathered}$

Then, the value of x is,

$\begin{gathered} x+69=180 \\ x=180-69 \\ x=111 \end{gathered}$

Use angle sum theoram to calculate the value of y.

$\begin{gathered} (18-66)+30+y=180 \\ y=66-30 \\ y=36 \end{gathered}$

Use angle sum theoram to calculate the value of z.

$\begin{gathered} (180-119)+43+z=180 \\ z=119-43 \\ z=76 \end{gathered}$