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Case studies ／ Arithmetic

Interact · step viewerEntrance-exam arithmetic (plane figures)

Two angles in a figure made of set squares

Two set squares overlap; find the two marked angles. Solved by first writing in the fixed angles of the set squares, then using the angle sum of a triangle.

　Domain: Arithmetic

Analysis data (cue → response texts, stage analyses, explanation steps) is shown in the original Japanese. English rendering of the data layer is pending; titles, summaries and observations are in English.

PROBLEM

The problem

SubjectTwo set squares are placed together as shown. Angle ㋐ is □ degrees and angle ㋑ is □ degrees.

CREATE BASE arithmetic materials (plane geometry, Japanese junior-high entrance level). The original figure is omitted; redrawn figures used for the analysis are shown.

OUTPUT

Interactive explanation

Use “Next step” to move through the figure and equations.

MATHEMATICS · EXAMPLE Two set squares are placed together as shown. Find angle ㋐ and angle ㋑ in degrees.

A step-by-step explanation generated from the same data. Figures, equations and chains come straight from this problem’s data; the English text is a translation.