Question

Use the figure two parallel lines cut by a transvesal.

Answer 1

a. 137°

Step-by-step explanation:

∠1 and ∠8 are corresponding angles. They are in the same relative position with respect to the parallel lines and the transversal.

Then, corresponding angles have the same measure, so:

∠8 = ∠1

∠8 = 43°

Now, ∠8 and ∠6 form a straight line, so the sum of these angles is 180°. Therefore, the measure of ∠6 can be calculated as:

∠6 = 180 - ∠8

∠6 = 180 - 43

∠6 = 137°

So, the answer is a. 137°