which statement regarding the diagram is true?

$m\angle wxy = m\angle yxz$
$m\angle wxy

Question

which statement regarding the diagram is true?

$m\angle wxy = m\angle yxz$
$m\angle wxy < m\angle yzx$
$m\angle wxy + m\angle yxz = 180^\circ$
$m\angle wxy + m\angle xyz = 180^\circ$

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": [ "Exterior Angle Theorem", "Linear Pair Postulate" ], "current_concepts": [ "Exterior Angle Theorem", "Linear Pair Postulate", "Supplementary Angles" ] } ## Identify the geometric relationship $$ \text{Points } W, X, \text{ and } Z \text{ lie on a straight line, forming a linear pair at vertex } X. $$ ## Apply the Linear Pair Postulate $$ m\angle WXY + m\angle YXZ = 180^\circ $$

(A) $m\angle WXY = m\angle YXZ$

(B) $m\angle WXY < m\angle YZX$

(C) $m\angle WXY + m\angle YXZ = 180^\circ$

(D) $m\angle WXY + m\angle XYZ = 180^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Supplementary Angles" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the geometric relationship

Apply the Linear Pair Postulate

Answer: