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.
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.
