Respuesta :

Answer:

x = -12

Step-by-step explanation:

This is an isosceles triangle (by the markings).  That means that angle 2 and the one not marked next to it both have the exact same measure.  By the Triangle Angle-sum theorem, all the angles of a triangle have to add up to equal 180.  That means that 180 - 36 = angle 2 + the other angle.

180 - 36 = 144 and

144 / 2 = 72.  So angle 2 and the other angle both measure 72 degrees.  If the expression for angle 2 is x + 84, then 72 = x + 84 and x = -12