Geometry

Write a two column proof.

Given: angle STV is congruent to angle TVU, angle STU is congruent to angle UVS.

Prove: Angle SVT is congruent to angle UTV.

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  1. Draw a diagram.

    SVU = SVT + TVU
    STU = STV + UTV

    So,

    SVT = SVU - TVU
    UTV = STU - STV

    Since SVU = STU and TVU = STV,

    SVT = STU - STV = UTV

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