Question

Find the value of X. Show work!!!

Answer 1

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