Question

a. x & 135°
n: corresponding
r:
x= 135°

x & y
n: verticle
r: congruent
y= 135

diagram with 135°, x, y, intersecting lines and transversals
e. conjectures are often written in statement. make a conjecture abou
\if ______\

Explanation:

Step1: Analyze x and 135° relationship

The angles x and 135° are corresponding angles (since the lines are parallel, corresponding angles are equal). So, \( x = 135^\circ \).

Step2: Analyze x and y relationship

Angles x and y are vertical angles. Vertical angles are congruent, so \( y = x \). Since \( x = 135^\circ \), then \( y = 135^\circ \).

Answer:

For \( x \) and \( 135^\circ \): \( x = 135^\circ \) (corresponding angles, equal). For \( x \) and \( y \): \( y = 135^\circ \) (vertical angles, congruent).