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Home > CC4 > Chapter 7 > Lesson 7.1.4 > Problem 7-49

7-49.
  1. Examine the triangle at right. Each part is a separate problem. Homework Help ✎

    1. If mD = 48º and mF = 117º, then what is mE?

    2. Solve for x if mD = 4x + 2º, mF = 7x – 8º, and mE = 4x + 6º. Then calculate mD.

    3. If mD = mF = mE, what type of triangle is ΔFED?

Review the Math Notes Box in this Lesson 7.1.4.

Use the Triangle Angle Sum Theorem: 48° + 117° + mE = 180°

Use the same method as part (a).

If all of the angles have equal measure, then all of the sides have equal measure.