2. the degree measures of the 3 angles of the triangle shown are expressed in terms of (x). what is the value of (x)?

f. 10
g. 12
h. 24
j. 30

Question

2. the degree measures of the 3 angles of the triangle shown are expressed in terms of (x). what is the value of (x)?

f. 10
g. 12
h. 24
j. 30

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" ], "current_concepts": [ "Triangle Angle Sum Theorem", "Algebraic Modeling" ] } ## Set up the angle sum equation $$ (4x) + (5x) + (6x) = 180 $$ ## Combine like terms $$ 15x = 180 $$ ## Solve for x $$ x = \frac{180}{15} = 12 $$

F. 10

G. 12

H. 24

J. 30

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the angle sum equation

Combine like terms

Solve for x

Answer: