Conjecture: The measures of the base angles of an isosceles right triangle are 45^(∘). Proof: See solution.
Practice makes perfect
Let's make our conjecture.
Conjecture
The measures of the base angles of an
isosceles right triangle are 45^(∘).To prove this conjecture, we will use the Isosceles Triangle Angle Theorem.
If two sides of a triangle are congruent,
then the angles opposite
those sides are congruent.
Considering this theorem, let the measure of each base angle be x^(∘). In this case, we can use the Interior Angles Theorem to find x.
