Question

In the figure, line L1 is parallel to line L2. I’d the measure of <2 = 43°, what is the measure of <8 and why?

A. 43°, alternate exterior angles are congruent.
B. 137°, same side exterior angles are congruent.
C. 137°, corresponding angles are supplementary.
D. 43°, vertical angles are congruent.

Answer 1

Pretty sure it’s B. 137 degrees

Answer 2

The measure of m∠8 = 137°  due to corresponding angles are supplementary.

What are supplementary angles?

Supplementary angles are defined as when two angles add up to 180 degrees. Supplementary angles form a straight angle.

∴ m∠2 = m∠6 = 43°  [ Corresponding angles }

Now, line L is a straight line and line T is on it,

∴ m∠6 + m∠8 = 180°   [ Angles in linear pair ]

⇒  43°  + m∠8  = 180°

⇒  m∠8 = 180° - 43°

⇒ m∠8 = 137°

Learn more about Supplementary angles here:

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