Question

Find the value of x in each case. Give reasons to justify your solutions! XW ∥ YZ

Answer 1

Answer:

The answer is "19".

Step-by-step explanation:

In this question, the graph file is missing which is defined in the attached file please find it.

When YZ and XW were identical,  

$\angle XWY =\angle WYZ \ \ \text{(Alternate Angles)}$

$\angle XWY = 2x$

Because the angles are all 180 degrees in either a triangle:

$\to (3x - 5) + 90 + 2x = 180\\\\\to 3x - 5 + 90 + 2x = 180\\\\ \to 5 x + 85= 180 \\\\ \to 5 x = 180-85 \\\\ \to 5x = 95 \\\\ \to x= \frac{95}{5} \\\\ \to x = 19$