What is the name of an angle that has equak length sides and equal angles?

lindsey's triangle has angles that measure 90 degrees,45 degrees,and 45 degrees.What type of triangle must this be?

Here's a wonderful site that explains angles and their degrees.

http://www.mathsisfun.com/angles.html

Looks like a right-angles isosceles triangle to me.

it the isosceles triangle

The name of an angle that has equal length sides and equal angles is called an "equilateral angle". However, it is more commonly referred to as an "equiangular angle".