what is the value of k in the linear pair below?

not drawn to scale

(a) $14^\circ$
(b) $76^\circ$
(c) $104^\circ$
(d) $180^\circ$

Question

what is the value of k in the linear pair below?

not drawn to scale

(a) $14^\circ$
(b) $76^\circ$
(c) $104^\circ$
(d) $180^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Linear Pair", "Supplementary Angles" ], "current_concepts": [ "Linear Pair", "Supplementary Angles" ] } ## Identify the geometric relationship $$ 104^\circ + k = 180^\circ $$ ## Solve for the unknown variable $$ k = 180^\circ - 104^\circ = 76^\circ $$

(A) $14^\circ$

(B) $76^\circ$

(C) $104^\circ$

(D) $180^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Linear Pair" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the geometric relationship

Solve for the unknown variable

Answer: