given the figure below, find the values of $x$ and $z$.

$(5x + 60)^\circ$
$z^\circ$
$85^\circ$

$x = \square$
$z = \square$

Question

given the figure below, find the values of $x$ and $z$.

$(5x + 60)^\circ$
$z^\circ$
$85^\circ$

$x = \square$
$z = \square$

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": [ "Vertical Angles", "Supplementary Angles" ], "new_concepts": [], "current_concepts": [ "Vertical Angles", "Supplementary Angles", "Linear Equations" ] } ## Equate vertical angles Using the *Vertical Angles* knowledge point $$ \begin{aligned} 5x + 60 &= 85 \ 5x &= 25 \ x &= 5 \end{aligned} $$ ## Find the supplementary angle Using the *Supplementary Angles* knowledge point $$ \begin{aligned} z + 85 &= 180 \ z &= 95 \end{aligned} $$ Given the figure below, find the values of $x$ and $z$. $x =$ 5 $z =$ 95 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Vertical Angles" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Equate vertical angles

Find the supplementary angle

Answer: