$$ U $$ If $$ O Q $$ and $$ R T $$ are parallel lines and $$ \angle Q P S=77^{\circ} $$, what is $$ \angle N P O $$ ? A $$ 73^{\circ} $$ B $$ 77^{\circ} $$ C $$ 93^{\circ} $$ D $$ 103^{\circ} $$

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To solve for $$ \angle N P O $$, we can use the properties of parallel lines and the angles formed by a transversal.

1. **Identify the angles**: Since $$ O Q $$ and $$ R T $$ are parallel lines, and $$ P S $$ is a transversal, we can use the corresponding angles theorem. This theorem states that if a transversal intersects two parallel lines, then each pair of corresponding angles is equal.

2. **Given information**: We know that $$ \angle Q P S = 77^{\circ} $$.

3. **Determine the corresponding angle**: The angle $$ \angle N P O $$ is a corresponding angle to $$ \angle Q P S $$ because they are both formed by the transversal $$ P S $$ intersecting the parallel lines $$ O Q $$ and $$ R T $$.

4. **Conclusion**: Since corresponding angles are equal, we have:
   $$
   \angle N P O = \angle Q P S = 77^{\circ}
   $$

Thus, the answer is $$ \angle N P O = 77^{\circ} $$.

The correct option is **B $$ 77^{\circ} $$**.
$$ \angle N P O = 77^{\circ} $$, so the correct answer is B.

If and are parallel lines and , what is ?

A

B

C

D

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