Question

In an isosceles triangle the base angles are equal the vertex angle is 45. what are the base angles

Answer 1

Answer:

each base angle measures 67.5

Step-by-step explanation:

Let ABC be a triangle where ∠A = 45 and ∠B = ∠C = x

We know,

               by angle sum property of a triangle, sum of all angles = 180

Thus,

       ∠A+∠B+∠C=180

       45 + x + x = 180

             45+ 2x= 180

                    2x= 180 - 45

                    2x= 135

                      x = 135/2

                      x = 67.5

Hence,

          ∠B = ∠C = 67.5

HOPE IT WAS HELPFUL!!