Answer #5

Statements                                       Reasons                          

1. Triangle BAD              1. Given

    angle B = 77 degrees

    angle A = 55 degrees

2.Angle B + angle A +    2. Sum of the measures of a

   angle D = 180 degrees      triangles angles = 180

3. Angle D = 55 degrees  3. Subtraction (77 +55 + x = 180)

4. Angle A is congruent  4. Angles with the same measure

    to angle D                        are congruent.

5. BA is congruent to      5. If the base angles of a triangle

    BD                                  are congruent, then the legs are

                                            congruent.

6. Triangle BAD is          6. A triangle with at least 2 sides

    isosceles                          congruent is isosceles.