Problem preview
MF.GM.4 Warmup MF-051-A03-V01

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

Use line and full-turn angle totals

Problem

\(\text{Three}~\text{angles}\) around a point measure \(110°\), \(95°\), and \(x\). Find \(x\).

Big Picture

What this problem is really about

The diagram partitions all the space around one point into three nonoverlapping sectors. Since those sectors make a full turn, add the two known measures and the unknown to the full-turn total, then subtract the known combined portion. Checking that all three parts restore one complete turn guards against using a straight-angle total instead.

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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
Use line and full-turn angle totals