What is the measure of one of the interior

angles of the regular quadrilateral?

90 degrees

Measure of one of the interior angles ⇒ 90°

Step-by-step explanation:

If we are considering a regular polygon, all sides are ≅, respectively all angles are ≅ as well;

Now any quadrilateral has total interior angle measure of 360 degrees, provided they each can be split into two triangles and hence knowing a triangle is 180 degrees each, ⇒ 180 * 2 = 360°;

So if all these angles are ≅, we can claim that;

m∠ 1 = m∠ 2 = x = m∠ 3 = m∠ 4, where ∠1, 2, 3, and 4 are interior angles

x + x + x + x = 360 degrees (°),

4x = 360°,

x = 90° = m∠ 1 = m∠ 2 = m∠ 3 = m∠ 4,

Solution; Measure of one of the interior angles⇒ 90°