Question

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°

Answer 1

The correct answer is: [D]: "supplementary angles, 180° " .
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Note:

Choices:
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[B]: "complementary angles, 180° " ; and:
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[C]: "supplementary angles, 90° " ;
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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° .
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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)" ;

and as such; ∠1 and ∠2 are supplementary angles—

and as such—add up to 180° .

(which rules out: Choice [A]: "complementary angles, 90°) ;

→ and demonstrates the correct answer:
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Answer choice: [D]: "supplementary angles, 180° " .
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