If wxyz is a square, find each angle.
Understand the Problem
The question is asking to find each angle of a square when given the designation of its vertices (w, x, y, z). Since a square has equal angles, we know they should all be 90 degrees.
Answer
Each angle is $90$ degrees.
Answer for screen readers
Each angle of the square is $90$ degrees.
Steps to Solve
- Identify the nature of the square
A square is defined as a quadrilateral with all sides of equal length and all angles equal. Therefore, we can determine that each angle is 90 degrees.
- Determine the angles of the square
Since all angles in a square are equal, we can express the measure of each angle using the formula:
$$ \text{Measure of each angle} = \frac{\text{Total degrees in a quadrilateral}}{4} $$
Where the total degrees in a quadrilateral is 360 degrees.
- Calculate the measure of each angle
Plugging the values into the formula:
$$ \text{Measure of each angle} = \frac{360}{4} = 90 $$
Thus, each angle in the square is 90 degrees.
Each angle of the square is $90$ degrees.
More Information
In a square, all four angles are congruent and equal to 90 degrees because it is a special type of rectangle where all sides are also of equal length.
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