a whole triangle is total of 180°
as the two angles are same which is x, hence it is an isosceles triangle.
so using all the angles given,
46° + x° + x° = 180
by collecting all the like terms,
46° + 2x° = 180
GET RID of 46° on the left hand side
ADD of 46° on the right hand side
2x° = 180° - 46°
2x = 134°
now divide all with 2
2x÷2 = 134÷2
x° = 67°
therefore, the answer is x = 67°