Question

in the figure to the right, s||t. use the figure to answer the following exercise. ∠a is congruent to which two of the following angles? and

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 to \(\angle a\)

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

Step3: Identify corresponding angle to \(\angle a\)

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

Answer:

\(\angle b\), \(\angle d\)