parallel lines r and s are cut by two transversals, parallel lines t and u.
how many angles are alternate exterior angles with angle 5?

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Alternate Exterior Angles", "Parallel Lines and Transversals" ], "current_concepts": [ "Alternate Exterior Angles", "Parallel Lines and Transversals" ] } ## Identify the position of angle 5 $$ \text{Angle 5 is located at the intersection of line } s \text{ and line } t. $$ ## Determine alternate exterior angles relative to line s as a transversal $$ \begin{aligned} &\text{With parallel lines } t \parallel u \text{ and transversal } s:\ &\text{Angle 5 is an exterior angle on the left of } s.\ &\text{Its alternate exterior angle is on the right of } s \text{ at line } u \text{, which is angle 11.} \end{aligned} $$ ## Determine alternate exterior angles relative to line t as a transversal $$ \begin{aligned} &\text{With parallel lines } r \parallel s \text{ and transversal } t:\ &\text{Angle 5 is an exterior angle above } t.\ &\text{Its alternate exterior angle is below } t \text{ at line } r \text{, which is angle 4.} \end{aligned} $$ How many angles are alternate exterior angles with angle 5? 2 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Lines and Transversals" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the position of angle 5

Determine alternate exterior angles relative to line s as a transversal

Determine alternate exterior angles relative to line t as a transversal

Answer: