Answer #3

 

·       Angle B is congruent to angle C because base angles of an isosceles triangle are congruent.

·       Angle C = 57 degrees because congruent angles have the same measure.

·       Angle A + angle B + angle C = 180 degrees because the sum of the measures of the angles in a triangle = 180 degrees.

·       57 + 57 + angle A = 180

·       57 + 57 + angle A = 180

  - 57  - 57                   - 144

                 angle A =  66

 

Angle A = 66 degrees

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