Given: What type of angles are ∠2 and ∠3 are adjacent angles. Which of the following options describes the adjacent angles in terms of their sum? complementary angles, 90° complementary angles, 180° supplementary angles, 90° supplementary angles, 180°
Accepted Solution
A:
The correct answer is: [D]: "supplementary angles, 180° " . _____________________________________________________ Note:
Choices: _____________________________________________________ [B]: "complementary angles, 180° " ; and: _____________________________________________________ [C]: "supplementary angles, 90° " ; _____________________________________________________ can automatically be ruled out ; since by definition:
→ Complementary angles always add up to 90° — NOT 180° ; and: supplementary angles always add up to 180° — NOT 90° . _____________________________________________________ Note: "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180° . Futhermore, looking at the image provided,
we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;