In the figure to the​ right, s double vertical line ts∥t. Use the figure to answer the following exercise.

Question

angle d∠d is congruent to which two of the following​ angles?
aab Superscript b Subscript Baseline c cddeeSubscript Baseline f f
s
t
u


Lines s and t are parallel, horizontal lines. Line s is above line t. Line u is a transversal that falls from left to right, intersecting lines s and t, forming 4 angles at each intersection. From left to right above and below each horizontal line, the angles are labeled as follows: above line s, f and e; below line s, a and b; above line t, c and d; below line t, unlabeled and unlabeled.
Question content area bottom
Part 1
Select all that apply.
angle f
angle f∠f
angle a
angle a∠a
angle e
angle e∠e
angle c
angle c∠c

Answer 1

Given that angles d and c are alternate interior angles formed by the transversal line u crossing parallel lines s and t, and angle d is congruent to angle c, we can deduce that:

1. Angle \(d\) is congruent to angle \(c\) (alternate interior angles).

To find other angles congruent to angle \(d\):

2. Since angle \(d\) and angle \(e\) are corresponding angles (each in the same relative position at the intersections), \(d\) is congruent to angle \(e\).

Therefore, the angles that are congruent to angle \(d\) are:

• Angle \(c\) (alternate interior angle)
• Angle \(e\) (corresponding angle)

Based on the options provided:

• Angle \(c\)
• Angle \(e\)

So you should select angle \(c\) and angle \(e\) as the angles congruent to angle \(d\).