The pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. The measure of ∠6 is 123°.
What are Alternate Interior angles?
When two parallel lines are intersected by a transversal, the pair of angles created on the inner side of the parallel lines but on opposing sides of the transversal is known as an alternative interior angle. These angles are always equal in measure.
Given that a bridge crosses over the Madison River. The opposite banks of the river are parallel and the bridge is a transversal. Therefore, the measure of the ∠3 and ∠6 will be equal. This is because the two angle are alternate interior angles.
Thus, the measure of ∠6 i,
∠6 = ∠3 = 123°
∠6 = 123°
Hence, the measure of ∠6 is 123°.
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