Question

carpentry mr. lewis is building a rustic dining table. instead of having four legs, the table has a set of supports at each end. if \\( \angle p r q \cong \angle t v u \\) and \\( m \angle r p q=49^{\circ} \\), what is \\( m \angle t v u \\)?

Explanation:

Step1: Use the property of congruent angles

If two angles \(\angle PRQ\) and \(\angle TVU\) are congruent (\(\angle PRQ\cong\angle TVU\)), then their measures are equal. That is, if \(m\angle PRQ = 49^{\circ}\), and \(m\angle TVU=m\angle PRQ\) (by the definition of congruent angles: if \(\angle A\cong\angle B\), then \(m\angle A = m\angle B\)).

Answer:

\(49^{\circ}\)