Question

Find the values of the variables for the parallelogram if m<1=4y-2. Round your answers to two decimal places if necessary!

Answer 1

The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.

The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

$\begin{gathered} 4y-2=90 \\ 4y=92 \\ y=23 \end{gathered}$

The value of y is 23.

The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

$\begin{gathered} 3x=45 \\ x=15 \end{gathered}$

Thus, the value of x is 15 degrees.

The value of 12z is 45 degrees.

$\begin{gathered} 12z=45 \\ z=3.75 \end{gathered}$

Thus, the required value of z is 3.75 degrees.