Question

Triangle 1 has known angles of 36° and 64º.

Triangle 2 has known angles of 64º and xº.
Select all the values of x that would make two triangles similar to each other

Answer 1

so the three sides of same triangle have 36°,64° or 64°

we know the total sum of angles of triangle is 180 then

here to find x

so if we add all the 3 triangle and - (subtract) it with 180° = remaining side

now 36°+64°+64°= 164

now. x= 180-164= 16°