High School

L1 and L2 are angles in a linear pair. If m∠L1 = 115°, what is m∠L2?

Answer :

Final answer:

The measure of angle L2 in the linear pair is 65°.

Explanation:

In a linear pair, two angles are adjacent and add up to 180 degrees. Given that m∠L1 = 115°, we can find m∠L2 by subtracting 115° from 180°. Therefore, m∠L2 = 180° - 115° = 65°.

In the field of mathematics, particularly geometry, a linear pair of angles is a pair of adjacent, supplementary angles. That is to say, the measures of the two angles add to make 180 degrees. So, if one angle, say m∠L1, measures 115°, the measurement of the other angle, m∠L2, would be 180° - m∠L1. Hence, m∠L2 = 180° - 115° = 65°.

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