Answer:
x = -10
Angle 2 = 49°
Angle 3 = 49°
Step-by-step explanation:
In the given figure, it's an isosceles triangle
so, angle 2 = angle 3
( since their opposite sides are equal )
now,
in the given triangle,
=》Angle 2 + Angle 3 + 82° = 180°
( sum of all interior angles of the triangle = 180° )
=》Angle 2 + Angle 3 = 180° - 82
=》Angle 2 + Angle 3 = 98°
=》2 × Angle 2 = 98°
( since, angle 2 = angle 3 )
=》Angle 2 = 98° / 2
=》Angle 2 = 49°
so, Angle 2 = 49° = Angle 3
now,
Angle 2 = x + 59
=》49 = x + 59
=》x = 49 - 59
=》x = -10
