If a quadrilateral has one angle measuring 120 degrees and the other three angle

If a quadrilateral has one angle measuring 120 degrees and the other three angles are equal, what is the measure of each of the equal angles?

If a quadrilateral has one angle measuring 120 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: Know that the total sum of the angles in a quadrilateral is 360 degrees.
Step 3: Identify that one angle measures 120 degrees.
Step 4: Subtract the 120 degrees from the total sum: 360 - 120 = 240 degrees.
Step 5: Recognize that the remaining three angles must add up to 240 degrees.
Step 6: Since the three remaining angles are equal, divide 240 degrees by 3: 240 / 3 = 80 degrees.
Step 7: Conclude that each of the equal angles measures 80 degrees.

Sum of Angles in a Quadrilateral – The total measure of the interior angles in any quadrilateral is always 360 degrees.
Equally Distributed Angles – When multiple angles are equal, their individual measures can be found by dividing the total measure of those angles by the number of angles.