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Question
parallel lines and transversals i find the measure of ∠3? multiple - choice question what is the measure of ∠3? 70 100 10 90
Step1: Identify angle - related property
The angle adjacent to the \(110^{\circ}\) angle and \(\angle3\) are corresponding angles (assuming parallel - line properties). The angle adjacent to the \(110^{\circ}\) angle forms a linear pair with \(110^{\circ}\), so its measure is \(180 - 110=70^{\circ}\).
Step2: Use corresponding - angle property
Since corresponding angles are equal when two lines are parallel, and the angle adjacent to the \(110^{\circ}\) angle and \(\angle3\) are corresponding angles, \(\angle3 = 70^{\circ}\).
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