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MF.GM.4 Challenge MF-051-A12-V02

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

Find every angle fact that fits

Problem

At point \(O\), \(\text{three}~\text{angles}\) around the point are \(95°\), \(x\), and \(x~+~45°\). Identify \(\text{every}~\text{statement}\) that correctly matches the situation.

A. \(95~+~x~+~(x~+~45)~=~360\)
B. \(2x~+~140~=~360\)
C. \(x~=~110°\)
D. \(x~+~(x~+~45)~=~180\)
E. \(x~+~45~=~155°\)
F. The angle \(x~+~45°\) is \(45°\) larger than the angle \(x\)

Three consecutive sectors around O labeled 95 degrees, x, and x plus 45 degrees. Open full size
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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
Find every angle fact that fits