what is the value of x?
$(2x-10)^\circ$
$(3x+15)^\circ$
a. $x=35$
b. $x=50$
c. $x=30$
d. $x=25$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Pair Postulate", "Supplementary Angles", "Algebraic Angle Solving", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Pair Postulate", "Supplementary Angles", "Algebraic Angle Solving", "Linear Equations" ] } ## Set up the linear pair equation $$ (2x - 10) + (3x + 15) = 180 $$ ## Solve for x $$ \begin{aligned} 5x + 5 &= 180 \ 5x &= 175 \ x &= 35 \end{aligned} $$

(A) $x = 35$

(B) $x = 50$

(C) $x = 55$

(D) $x = 125$

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

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Question

Explanation:

Set up the linear pair equation

Solve for x

Answer: