Question

If m1 + m3 = 154°, what is m2? 156° 116° 29° 26°

For the above question, are angles 1 and 3 complementary, supplementary, or neither. Explain your answer. Note: You must answer and explain to receive full credit.

Answer 1

Part (1):
The sum of the internal angles in any triangle is 180.
This means that:
∠1 + ∠2 + ∠3 = 180
We are given that:
∠1 + ∠3 = 154°
Therefore:
∠2 + 154 = 180
∠2 = 180 - 154 = 26°

Part (2):
Complementary angles are defined as angles that sum up to 90°
Supplementary angles are defined as angles that sum up to 180°
We know that ∠1 and ∠3 sum up to 154°.
This means that they are neither complementary nor supplementary.

Hope this helps :)