Question

Find A and the reason

Answer 1

We see that Triangle ABC is an isosceles triangle which means:

• Sides BA and BC are equal in length
• Angle BAC and BCA are equal

We see that Angle BCD and Angle BCA are on a straight line, which means that both of the angles' measures are equal to 180 degrees

    --> in equation form:

              Angle BCD + Angle BCA = 180

                118 + Angle BCA = 180

                         Angle BCA = 62 degrees

Since Angle BCA and BAC are equal, then Angle BAC or Angle A in this case is 62 degrees

Hope that helps!