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 $?

Question

Accepted Answer

# Explanation:
## Step1: Use the property of right - angled triangles
In right - angled triangle $PRQ$, $\angle PRQ+\angle RPQ + 90^{\circ}=180^{\circ}$ (sum of angles in a triangle is $180^{\circ}$).
## Step2: Solve for $\angle PRQ$
$\angle PRQ=180^{\circ}-90^{\circ}-49^{\circ}$
$$
\begin{align*}
\angle PRQ&=90^{\circ}-49^{\circ}\
\angle PRQ& = 41^{\circ}
\end{align*}
$$
## Step3: Use the congruent angle property
Since $\angle PRQ\cong\angle TVU$, then $m\angle TVU=m\angle PRQ$

# Answer:
$41^{\circ}$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the property of right - angled triangles

Step2: Solve for \(\angle PRQ\)

Step3: Use the congruent angle property

Answer: