Question

challenge #3
find the value of the variables
*remember parallel line properties
variable value result
x
у

Explanation:

Step1: Use alternate - interior angles property

Since the two lines are parallel, \(x = 64^{\circ}\) (alternate - interior angles are equal).

Step2: Use the fact that the sum of angles in a right - angled triangle is \(90^{\circ}\)

In the right - angled triangle, \(x + y=90^{\circ}\). Substitute \(x = 64^{\circ}\) into the equation: \(y=90^{\circ}-x\).
\(y = 90^{\circ}-64^{\circ}=26^{\circ}\)

Answer:

Variable	Value
y	26