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G-SRT.2 Warmup M2-047-A07-V02

Use similarity transformations to decide similarity and explain angle equality and side proportionality in triangles.

Find a missing angle or variable from corresponding angles in similar triangles

Problem

Use triangle similarity to find the missing angle: triangle \(PQR\) is similar to triangle \(XYZ\), and angle \(Q=65^{\circ}\). Find angle \(Y\).

Unworked paired or staged triangle geometry showing only the supplied evidence. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.2
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use similarity transformations to decide similarity and explain angle equality and side proportionality in triangles.
Problem type
Find a missing angle or variable from corresponding angles in similar triangles