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G-CO.9 Warmup M2-036-A04-V04

Prove theorems about lines and angles: vertical angles, parallel-line angle relationships, and perpendicular bisectors.

Use alternate interior angles with parallel lines

Problem

\(\text{Two}~\text{parallel}~\text{lines}\) are cut by a transversal. \(\text{One}~\text{pair}~\text{of}~\text{alternate}~\text{interior}~\text{angles}\) is labeled \(5n~-~8\) and \(3n~+~24^{\circ}\). Use the alternate interior angles relationship to find \(n\).

Two parallel lines cut by a transversal with alternate interior angles labeled (5n−8)° and (3n+24)°. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-CO.9
Category
Geometry
Domain
Congruence
Objective
Prove theorems about lines and angles: vertical angles, parallel-line angle relationships, and perpendicular bisectors.
Problem type
Use alternate interior angles with parallel lines