Question

Question #ae58d

Answer 1

There is only one possible isosceles triangle that can be drawn with one `80^o`

Explanation:

An Isosceles Triangle by definition has two equal sides and two equal base angles.

Since the Sum of the angles of any triangle must be `180^o`, we can solve for the value of the angles.

One angle must be `80^o` based upon your question.

`x + x + 80^o = 180^o`

`2x + 80^o = 180^o`

`2x + 80^o - 80^o= 180^o - 80^o`

`2x = 100^o`

`(2x)/2 = (100^o)/2`

`x = 50^o`

Therefore the only triangle that can be drawn with only one `80^o` angle also has two base angles of `50^o` each.