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the figure to the right shows two parallel lines intersected by a trans…

Question

the figure to the right shows two parallel lines intersected by a transversal.
let ( x = 110 ^ { circ } ). find the measure of each of the other seven angles.
( m angle 1 = square ^ { circ } )

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. Since \(x = 110^{\circ}\), and \(\angle1\) and \(x\) are vertical angles.

Step2: Determine the measure of \(\angle1\)

By the vertical - angles theorem, \(m\angle1=x\)

Answer:

\(110\)