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solve for x. question 10 find the measure of angle 2

Question

solve for x.
question 10
find the measure of angle 2

Explanation:

Step1: Identify congruent triangles

The two triangles are congruent by Side - Angle - Side (SAS) criterion as two pairs of sides are equal (marked with dashes) and the included vertical angles are equal.

Step2: Use corresponding angles property

Since the triangles are congruent, the angle \(x\) and the given \(65^{\circ}\) angle are corresponding angles. So \(x = 65^{\circ}\).

Answer:

\(65^{\circ}\)