Mathematics

Question

In △ABC , m∠A=30° and m∠B=64° . In △DEF , m∠D=30° and m∠F=86° . Which statement about the triangles is true? △ABC is not similar to △DEF . △ABC is similar to △DEF Not enough information is given to determine if △ABC is similar to △DEF

2 Answer

  • Triangle ABC is similar to DEF
  • △ABC is similar to △DEF. We can prove this by finding the missing angle measures.

    C=180-(30+64)
    C=180-94
    C=86

    E=180-(30+86)
    E=180-116
    E=64

    Since A=30 and D=30, B=64 and E=64, and C=86 and F=86, the triangle are similar.

    :)
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