practice: applying angle bisectors in a triangle

$\vec{ab}$ bisects $\angle cad$. find each measurement.

$x = $

$m\angle dab = $ $^{\circ}$

$m\angle cad = $ $^{\circ}$

Question

practice: applying angle bisectors in a triangle

$\vec{ab}$ bisects $\angle cad$. find each measurement.

$x = $

$m\angle dab = $ $^{\circ}$

$m\angle cad = $ $^{\circ}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Angle Bisector Theorem" ], "new_concepts": [], "current_concepts": [ "Angle Bisector Theorem", "Angle Bisector Properties" ] } ## Apply the Angle Bisector Theorem $$ \begin{aligned} &BC = BD \ &6 = x \ &x = 6 \end{aligned} $$ ## Determine the angle measures $$ \begin{aligned} &m\angle DAB = m\angle CAB = 32^\circ \ &m\angle CAD = m\angle CAB + m\angle DAB = 32^\circ + 32^\circ = 64^\circ \end{aligned} $$ $\vec{AB}$ bisects $\angle CAD$. Find each measurement. $x =$ 6 $m\angle DAB =$ 32$^\circ$ $m\angle CAD =$ 64$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Angle Bisector Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the Angle Bisector Theorem

Determine the angle measures

Answer: