what is $m\angle u$?

$m\angle u = \quad ^\circ$

list the sides in order from least to greatest.

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Question

what is $m\angle u$?

$m\angle u = \quad ^\circ$

list the sides in order from least to greatest.

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Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Angle Sum Theorem" ], "new_concepts": [ "Triangle Side-Angle Relationship" ], "current_concepts": [ "Triangle Angle Sum Theorem", "Triangle Side-Angle Relationship" ] } ## Calculate the measure of angle U $$ \begin{aligned} m\angle U &= 180^\circ - (m\angle V + m\angle W) \ m\angle U &= 180^\circ - (32^\circ + 57^\circ) \ m\angle U &= 180^\circ - 89^\circ \ m\angle U &= 91^\circ \end{aligned} $$ ## Order the angles from least to greatest $$ \begin{aligned} m\angle V < m\angle W < m\angle U \ 32^\circ < 57^\circ < 91^\circ \end{aligned} $$ ## Order the opposite sides from shortest to longest $$ \begin{aligned} \text{Opposite to } \angle V & ightarrow UW \ \text{Opposite to } \angle W & ightarrow UV \ \text{Opposite to } \angle U & ightarrow VW \ UW < UV < VW \end{aligned} $$ ## Question 1 What is $m\angle U$? $m\angle U =$ 91$^\circ$ ## Question 2 List the sides in order from least to greatest. Segment $UW$ Segment $UV$ Segment $VW$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Side-Angle Relationship" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the measure of angle U

Order the angles from least to greatest

Order the opposite sides from shortest to longest

Answer:

Question 1

Question 2