Step-by-step explanation:
I can't draw here, but I can describe :
an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).
this fact makes the triangle symmetrical.
and that means that 2 angles are also equal (the angles of the legs with the baseline).
so, knowing that one angle is 34 degrees can mean 2 things :
either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.
as we know the sum of all angles in a triangle is always 180 degrees.
so case 1 : 34 degrees is the angle between the legs
180 = 34 + 2×base-leg-angle
144 = 2×base-leg-angle
each base-leg-angle = 72 degrees
case 2 : 34 degrees is one of the base-leg-angles
180 = 2×34 + between-the-legs-angle
180 = 68 + between-the-legs-angle
between-the-legs-angle = 112 degrees
so, you need to draw one triangle for each case.
since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :
one triangle with 34, 72, 72 degrees
and one triangular with 34, 34, 112 degrees
