In a quadrilateral, if one angle is 90 degrees and the other three angles are eq

In a quadrilateral, if one angle is 90 degrees and the other three angles are equal, what is the measure of each of the equal angles?

In a quadrilateral, if one angle is 90 degrees and the other three angles are equal, what is the measure of each of the equal angles?

Step 1: Understand that a quadrilateral has four angles.
Step 2: Note that one angle is 90 degrees.
Step 3: Let the three equal angles be represented as 'x'.
Step 4: Write the equation for the sum of the angles in the quadrilateral: 90 + 3x = 360.
Step 5: Subtract 90 from both sides of the equation: 3x = 360 - 90.
Step 6: Simplify the right side: 3x = 270.
Step 7: Divide both sides by 3 to find x: x = 270 / 3.
Step 8: Calculate the value of x: x = 90 degrees.
Step 9: Realize that having three angles of 90 degrees is not possible in a quadrilateral.
Step 10: Conclude that the correct measure of each of the equal angles must be 45 degrees.

No concepts available.