Problem preview
MF.GM.4 Standard MF-051-A06-V01

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

Read the structure of the diagram first

Problem

\(\text{Two}~\text{lines}\) intersect at \(P\). The adjacent upper-left and upper-right angles form a straight line. The upper-left angle is \(118°\) and the upper-right angle is \(x\). Calculate \(x\), and name the angle relationship.

Big Picture

What this problem is really about

Read the rays before using the labels: the two angles share a side, while their nonshared sides point in opposite directions along one line. That structure makes an adjacent straight-line pair, so their measures must complete a straight angle. Subtract the known part from that total and use the sum to verify both the measure and the named relationship.

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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
Read the structure of the diagram first