Question

problem 17:
(first taught in
lesson 51)
find x, y, and z.
after you enter your answer press go.
x = y =
z =

Explanation:

Step1: Use the property of consecutive interior angles in a parallelogram

In a parallelogram, consecutive interior angles are supplementary. So, \((5x + 45)+20x=180\).

$$
LATEXBLOCK0
$$

Step2: Use the property of opposite angles in a parallelogram

In a parallelogram, opposite angles are equal. \(y = 5x+45\), substitute \(x = 5.4\) into it.

$$
LATEXBLOCK1
$$

\(z=20x\), substitute \(x = 5.4\) into it.

$$
LATEXBLOCK2
$$

Answer:

\(x = 5.4\), \(y = 72\), \(z = 108\)