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

7-49.

Examine the triangle at right. Each part is a separate problem. Homework Help ✎ If

*m*∠*D*= 48º and*m*∠*F*= 117º, then what is*m*∠*E*?Solve for

*x*if*m*∠*D*= 4*x*+ 2º,*m*∠*F*= 7*x*– 8º, and*m*∠*E*= 4*x*+ 6º. Then calculate*m*∠*D*.If

*m*∠*D*=*m*∠*F*=*m*∠*E*, what type of triangle is Δ*FED*?

Review the Math Notes Box in this Lesson 7.1.4.

Use the Triangle Angle Sum Theorem: 48° + 117° + *m*∠*E* = 180°

Use the same method as part (a).

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