In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees,

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Question: In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?

Options:

Correct Answer: 100 degrees

Solution:

The sum of the angles in a quadrilateral is 360 degrees. Thus, the fourth angle is 360 - (70 + 80 + 90) = 120 degrees.

In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?

In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?

Step 1: Understand that a quadrilateral has four angles.
Step 2: Know that the total sum of all angles in a quadrilateral is 360 degrees.
Step 3: Add the three given angles together: 70 degrees + 80 degrees + 90 degrees.
Step 4: Calculate the sum: 70 + 80 = 150, then 150 + 90 = 240 degrees.
Step 5: Subtract the sum of the three angles from 360 degrees: 360 - 240 degrees.
Step 6: Calculate the result: 360 - 240 = 120 degrees.
Step 7: Conclude that the measure of the fourth angle is 120 degrees.

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