guided example 3

if $ m\angle inj = 63^{\circ} $, find each angle measure.

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

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

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

Question

guided example 3

if $ m\angle inj = 63^{\circ} $, find each angle measure.

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

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

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

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Vertical Angles", "Linear Pair", "Angle Addition Postulate" ], "new_concepts": [], "current_concepts": [ "Vertical Angles", "Linear Pair", "Angle Addition Postulate" ] } ## Identify vertical angles $$ \begin{aligned} &m\angle INJ = 63^\circ \ &m\angle MNL = m\angle INJ = 63^\circ \end{aligned} $$ ## Calculate adjacent angle using linear pair $$ \begin{aligned} &m\angle JNK + m\angle INJ = 90^\circ \quad (\text{from perpendicular marking } \angle INK = 90^\circ) \ &m\angle JNK = 90^\circ - 63^\circ = 27^\circ \end{aligned} $$ ## Calculate supplementary angle $$ \begin{aligned} &m\angle JNL + m\angle INJ = 180^\circ \ &m\angle JNL = 180^\circ - 63^\circ = 117^\circ \end{aligned} $$ ## Question 1 $m\angle MNL =$ 63 ## Question 2 $m\angle JNK =$ 27 ## Question 3 $m\angle JNL =$ 117 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Vertical Angles" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify vertical angles

Calculate adjacent angle using linear pair

Calculate supplementary angle

Answer:

Question 1

Question 2

Question 3