Answer

  1. 57.5º
    Solution:
    As BC = AC, therefore triangle ABC is an isoscelestriangle.
    Given $\angle\text{ACD} = 115^\circ,\ \angle\text{ACB} = 180-115=65^\circ$ (Linear Pair)
    As AC = BC, therefore $\angle\text{A} =\angle\text{B}$
    As sum of all the three angles of atriangle is 180°
    Therefore, $\angle\text{A} + \angle\text{B} + \angle\text{ACB} = 180^\circ$
    $\angle\text{A} = \angle\text{B} = 57.5$

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