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7. how many pairs of angles are marked as congruent in the figures belo…

Question

  1. how many pairs of angles are marked as congruent in the figures below? figures: triangle vwx with ∠v (single arc), ∠x (double arc), side vx (one mark); triangle mnl with ∠m (single arc), ∠l (double arc), side nl (one mark). options: 0, 1, 3, 2

Explanation:

Step1: Identify congruent angle markings

Look at the angles with the same arc markings. Angle \( \angle V \) and \( \angle M \) have one arc, so they are congruent. Angle \( \angle X \) and \( \angle L \) have two arcs, so they are congruent.

Step2: Count the pairs

We have two pairs of congruent angles: \( (\angle V, \angle M) \) and \( (\angle X, \angle L) \).

Answer:

2