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in the figure, ( a parallel b ) and ( mangle 1 = 34^circ ). what is the…

Question

in the figure, ( a parallel b ) and ( mangle 1 = 34^circ ). what is the ( mangle 5 )? enter your answer in the box. (square^circ)

Explanation:

Step1: Identify corresponding angles

Since \(a \parallel b\), \(\angle 1\) and \(\angle 5\) are corresponding angles.

Step2: Apply corresponding angles postulate

Corresponding angles formed by a transversal cutting parallel lines are congruent, so \(m\angle 5 = m\angle 1\).
<Expression>
\(m\angle 5 = 34^\circ\)
</Expression>

Answer:

\(34\)