Answer
The given statement: “Each angle of an isosceles triangle measures $60{}^\circ $”.is false.
Work Step by Step
An isosceles triangle is the one whose two sides are equal in length and the opposite angles to those equal sides are also equal.
Any angle of the isosceles triangle may or may not be off but if all the angles are off then it will be an equilateral triangle and not an isosceles triangle.
Hence, the given statement is false. The correct statement is “Each angle of an equilateral triangle measures $60{}^\circ $.