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

Sagot :

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,  

[tex]\angle XWY =\angle WYZ \ \ \text{(Alternate Angles)}[/tex]

[tex]\angle XWY = 2x[/tex]

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

[tex]\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[/tex]

View image codiepienagoya

The answer above is accually correct, but always remember when submitting your answer to always put the degrees sign.