the angles shown are supplementary angles. determine the measures of $\angle 1$ and $\angle 2$.

what are the measures of $\angle 1$ and $\angle 2$?

$m\angle 1 = \square^{\circ}$ (simplify your answer.)
$m\angle 2 = \square^{\circ}$ (simplify your answer.)

Question

the angles shown are supplementary angles. determine the measures of $\angle 1$ and $\angle 2$.

what are the measures of $\angle 1$ and $\angle 2$?

$m\angle 1 = \square^{\circ}$ (simplify your answer.)
$m\angle 2 = \square^{\circ}$ (simplify your answer.)

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" ], "new_concepts": [], "current_concepts": [ "Supplementary Angles", "Systems of Linear Equations" ] } ## Set up the angle equation Using the *Supplementary Angles* knowledge point $$ (13x + 12) + x = 180 $$ ## Solve for x Using the *Systems of Linear Equations* knowledge point $$ \begin{aligned} 14x + 12 &= 180 \ 14x &= 168 \ x &= 12 \end{aligned} $$ ## Calculate the measure of angle 1 Using the *Supplementary Angles* knowledge point $$ \text{m}\angle 1 = x = 12^\circ $$ ## Calculate the measure of angle 2 Using the *Supplementary Angles* knowledge point $$ \text{m}\angle 2 = 13(12) + 12 = 156 + 12 = 168^\circ $$ What are the measures of $\angle 1$ and $\angle 2$? $\text{m}\angle 1 =$ $12$$^\circ$ $\text{m}\angle 2 =$ $168$$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Supplementary Angles" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the angle equation

Solve for x

Calculate the measure of angle 1

Calculate the measure of angle 2

Answer: