what is the value of z?

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Supplementary Angles", "Linear Pair" ], "new_concepts": [], "current_concepts": [ "Supplementary Angles", "Linear Pair" ] } ## Identify the angle relationship Using the *Linear Pair* and *Supplementary Angles* knowledge points $$ \text{The angle labeled } 50^\circ \text{ and the angle labeled } z \text{ form a linear pair along a straight line.} $$ ## Set up the equation Using the *Supplementary Angles* knowledge point $$ 50^\circ + z = 180^\circ $$ ## Solve for z Using the *Supplementary Angles* knowledge point $$ \begin{aligned} z &= 180^\circ - 50^\circ \ z &= 130 \end{aligned} $$ What is the value of z? 130 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Supplementary Angles" ] }

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Question

Explanation:

Identify the angle relationship

Set up the equation

Solve for z

Answer: