Problem preview
MF.GM.4 Standard MF-051-A10-V01

Use angle facts and diagram structure to find unknown angle measures.

Turn angle words into a solve-able setup

Problem

\(\text{Two}~\text{supplementary}~\text{angles}\) measure \(40°\) and \(3x°\). Write an equation that can be used to find \(x\).

Big Picture

What this problem is really about

Translate “supplementary” into a total before building the equation. Preserve each angle measure exactly as stated, add the numerical angle and the variable expression as the two parts, and set that sum equal to the straight-angle total. The task asks only for a model, so the correctly structured equation is the stopping point.

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Four variants of this problem type
Curriculum context
Standard
MF.GM.4
Category
Geometry and Measurement
Domain
Angle Reasoning
Objective
Use angle facts and diagram structure to find unknown angle measures.
Problem type
Turn angle words into a solve-able setup