Question

In the figure, AB || CD and m/3 = 1307
What is m/6?
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Answer 1

m∠6 = 50°

Explanation:

We know that angles 3 and 6 are same side interior angles. Whenever a traversal cuts through two parallel lines (AB and CD), the sum of the same side interior angles is always 180.

Thus, we can find the measure of ∠6 by subtracting the measure of ∠3 from 180:

m∠6 + m∠3 = 180°

m∠6 + 130° = 180°

m∠6 = 50°