Calculate Angle ABC in a Square with Diagonal: Advanced Geometry

Question

ABCD is a square.

$∢\text{ABC}=\text{?}$

00:00 Calculate ABC?

00:03 In a square all angles are right angles

00:10 The diagonal in a square bisects the angle

00:15 The angle equals half of the whole angle

00:25 Let's substitute appropriate values and solve for the angle

00:30 And this is the solution to the question

Due to the fact that all angles in a square are equal to 90 degrees, and BC bisects an angle, we can calculate angle ABC accordingly:

$90:2=45$