Question

In Figure 5.26 to the right, ABCD
is asquare. Find the measure of
<ABD​

Answer 1

∠ABD = 45°

Explanation:

Since ABCD is a square, its diagonals (Line BD) bisect the angles of the corners of the square (∠ABC) into two equal angles (∠ABD and ∠CBD). The angle of each corner is 90° so you can find ∠ABD.

2(∠ABD) = 90°

∠ABD = 90° ÷ 2

∠ABD = 45°