BrachaR738693 BrachaR738693
  • 03-11-2022
  • Mathematics
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use the figure two parallel lines cut by a transvesal.

use the figure two parallel lines cut by a transvesal class=

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IlianyW764639 IlianyW764639
  • 03-11-2022

Answer:

a. 137°

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°

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