Question

which angles are congruent to each other?

∠9 and ∠1 ∠6 and ∠9 ∠16 and ∠14 ∠16 and ∠10

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Explanation:

Step1: Recall the property of vertical angles

Vertical angles are congruent. Vertical angles are the angles opposite each other when two lines cross.

Step2: Check each option

• For \(\angle9\) and \(\angle1\):

\(\angle9\) and \(\angle1\) are not vertical angles.

• For \(\angle6\) and \(\angle9\):

\(\angle6\) and \(\angle9\) are not vertical angles.

• For \(\angle16\) and \(\angle14\):

\(\angle16\) and \(\angle14\) are not vertical angles.

• For \(\angle16\) and \(\angle10\):

\(\angle16\) and \(\angle10\) are vertical angles.

Answer:

\(\angle16\) and \(\angle10\)