Question

Please help!! Find the value of x in each case. Give reasons to justify your solutions!

Answer 1

x = 18

Explanation:

We know that all of the angles inside a triangle add up to 180. We also know that angles WYZ and YWX are congruent because the lines of YZ and XW are parallel.

Knowing this, we can assume that 2x is equal to the angle YWX, which makes up the third angle in triangle YWX.

Now, if all the angles inside a triangle add up to 180, we can set up the equation 180 = (90) + (2x) + (3x - 5), and solve for x.

90 = 5x - 5

95 = 5x

x = 18

Answer 2

Answer: x = 19°

Explanation:

The angles inside a triangle add up to 180. Angles WYZ and YWX are congruent since the YZ II XW. From this, we know that 2x is equal to angle YWX.

The equation

180 = (90) + (2x) + (3x - 5)

180 = 90-5 + 2x + 3x

180 = 85 + 5x

5x = 180 - 85

X = 95/5 = 19°