In a quadrilateral, if one angle is 120 degrees, what can be said about the sum

₹0.0

Question: In a quadrilateral, if one angle is 120 degrees, what can be said about the sum of the other three angles?

Options:

Correct Answer: They must sum to 240 degrees.

Solution:

The sum of the angles in a quadrilateral is 360 degrees. Therefore, the other three angles must sum to 360 - 120 = 240 degrees.

In a quadrilateral, if one angle is 120 degrees, what can be said about the sum of the other three angles?

In a quadrilateral, if one angle is 120 degrees, what can be said about the sum of the other three angles?

Step 1: Understand that a quadrilateral is a shape with four sides and four angles.
Step 2: Know that the total sum of all angles in any quadrilateral is always 360 degrees.
Step 3: Identify that one of the angles in the quadrilateral is given as 120 degrees.
Step 4: To find the sum of the other three angles, subtract the given angle from the total sum of angles.
Step 5: Perform the calculation: 360 degrees (total) - 120 degrees (given angle) = 240 degrees.
Step 6: Conclude that the sum of the other three angles in the quadrilateral is 240 degrees.

Sum of Angles in a Quadrilateral – The total sum of the interior angles in any quadrilateral is always 360 degrees.