Problem preview
G-CO.9 Warmup M2-036-A01-V01

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

Use vertical angles to find a missing angle measure or variable

Problem

Given \(\text{one}~\text{vertical}~\text{angle}\) is \(72^{\circ}\), use vertical angles to find the missing angle measure.

Big Picture

What this problem is really about

At an intersection, position determines whether to copy a measure or take its supplement. We’ll confirm that the requested region is directly opposite the given angle, apply vertical-angle congruence, and use the adjacent linear pair only to distinguish the tempting supplementary value.

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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 vertical angles to find a missing angle measure or variable