examine carmens plans for rail lines at a train station.
what is the measure of angle 2? $m\angle 2 = \square^{\circ}$

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Alternate Interior Angles", "Corresponding Angles", "Vertical Angles", "Linear Pair" ], "new_concepts": [], "current_concepts": [ "Alternate Interior Angles", "Corresponding Angles", "Vertical Angles", "Linear Pair" ] } ## Solve for x using parallel lines k and m cut by transversal t $$ \begin{aligned} (6x + 5)^\circ &= (7x - 4)^\circ \ 6x + 5 &= 7x - 4 \ x &= 9 \end{aligned} $$ ## Find the measure of the angle vertical to angle 1 $$ \begin{aligned} \text{Angle measure} &= 6(9) + 5 = 59^\circ \ m\angle 1 &= 59^\circ \end{aligned} $$ ## Find the measure of angle 2 using the linear pair and parallel lines k and l $$ \begin{aligned} m\angle 2 + m\angle 1 + 48^\circ &= 180^\circ \ m\angle 2 + 59^\circ + 48^\circ &= 180^\circ \ m\angle 2 + 107^\circ &= 180^\circ \ m\angle 2 &= 73^\circ \end{aligned} $$ What is the measure of angle 2? $m\angle 2 =$ 73$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Line Angles" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Solve for x using parallel lines k and m cut by transversal t

Find the measure of the angle vertical to angle 1

Find the measure of angle 2 using the linear pair and parallel lines k and l

Answer: