Answer:
Consecutive interior angles will be supplementary
Step-by-step explanation:
As we know that a transversal line is a straight line which tends to intersect two or more parallel lines.
Consecutive interior angles are interior angles that are on the same side of the transversal line. Their sum is 180°.
Hence, Consecutive interior angles will be supplementary
For example, let ∠A and ∠B be the two consecutive interior angles.
As the sum of Consecutive interior angles is 180°, hence they are supplementary.
so the equation becomes
∠A + ∠B = 180°
Let suppose <A and <B are both consecutive interior angles.
Let ∠A is 110°, and we have to determine ∠B.
As the sum of Consecutive interior angles is 180°,
110° + ∠B = 180°
∠B = 180° - 110°
= 70°
so 70° + 110° = 180°
Therefore, Consecutive interior angles will be supplementary
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