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1.- en los ejercicios, halla ( mangle1 ) y ( mangle2 ). di cuál teorema…

Question

1.- en los ejercicios, halla ( mangle1 ) y ( mangle2 ). di cuál teorema usaste en cada
1.
2.

Explanation:

Step1: Find \(m\angle1\)

Using the Alternate Interior Angles Theorem (if two parallel lines are cut by a transversal, then alternate interior angles are congruent).
\(m\angle1 = 117^{\circ}\)

Step2: Find \(m\angle2\)

Using the Corresponding Angles Theorem (if two parallel lines are cut by a transversal, then corresponding angles are congruent).
Since the angle of \(117^{\circ}\) and \(\angle2\) are corresponding angles, \(m\angle2=117^{\circ}\)

Answer:

\(m\angle1 = 117^{\circ}\), \(m\angle2 = 117^{\circ}\) (using Alternate Interior Angles Theorem for \(\angle1\) and Corresponding Angles Theorem for \(\angle2\))