the angles shown are complementary angles. determine the measures of $\measuredangle 1$ and $\measuredangle 2$.

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

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

Question

the angles shown are complementary angles. determine the measures of $\measuredangle 1$ and $\measuredangle 2$.

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

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

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Complementary Angles" ], "new_concepts": [], "current_concepts": [ "Complementary Angles", "Solving Linear Equations" ] } ## Set up the equation using complementary angles $$ \begin{aligned} &m\angle 1 = 10x + 13 \ &m\angle 2 = x \ &(10x + 13) + x = 90 \end{aligned} $$ ## Solve for x $$ \begin{aligned} 11x + 13 &= 90 \ 11x &= 77 \ x &= 7 \end{aligned} $$ ## Calculate the measures of the angles $$ \begin{aligned} &m\angle 1 = 10(7) + 13 = 83^\circ \ &m\angle 2 = 7^\circ \end{aligned} $$ What are the measures of $\angle 1$ and $\angle 2$? $m\angle 1 =$ 83$^\circ$ $m\angle 2 =$ 7$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Complementary Angles" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the equation using complementary angles

Solve for x

Calculate the measures of the angles

Answer: