find the measure of angle 3.

130
75
55
45

Question

find the measure of angle 3.

130
75
55
45

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Triangle Angle Sum Theorem", "Linear Pair Postulate", "Vertical Angles" ], "current_concepts": [ "Triangle Angle Sum Theorem", "Linear Pair Postulate", "Vertical Angles" ] } ## Find the measure of angle 1 and angle 2 $$ \begin{aligned} &m\angle 1 = 180^\circ - 130^\circ = 50^\circ\ &m\angle 2 = 180^\circ - (m\angle 1 + 75^\circ) = 180^\circ - (50^\circ + 75^\circ) = 55^\circ \end{aligned} $$ ## Find the measure of angle 3 $$ \begin{aligned} &m\angle 3 = m\angle 2 = 55^\circ \end{aligned} $$

130

75

55

45

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Angle Sum Theorem" ] }

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Question

Explanation:

Find the measure of angle 1 and angle 2

Find the measure of angle 3

Answer: