Question

in the figure to the right, s||t. use the figure to answer the following exercise. ∠c is congruent to which two of the following angles? select all that apply. ∠a ∠b ∠f ∠d

Explanation:

Step1: Recall angle - congruence rules for parallel lines

When two parallel lines \(s\) and \(t\) are cut by a transversal \(u\), vertical angles are congruent and corresponding angles are congruent.

Step2: Identify vertical - angle relationship

\(\angle c\) and \(\angle d\) are vertical angles. By the vertical - angles theorem, vertical angles are congruent. So \(\angle c\cong\angle d\).

Step3: Identify corresponding - angle relationship

\(\angle c\) and \(\angle a\) are corresponding angles. Since \(s\parallel t\), corresponding angles formed by a transversal are congruent. So \(\angle c\cong\angle a\).

Answer:

\(\angle a\), \(\angle d\)