If a quadrilateral has angles measuring 90 degrees, 85 degrees, 95 degrees, and

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Question: If a quadrilateral has angles measuring 90 degrees, 85 degrees, 95 degrees, and x degrees, what is the value of x?

Options:

Correct Answer: 75 degrees

Solution:

The sum of the interior angles of a quadrilateral is 360 degrees. Therefore, x = 360 - (90 + 85 + 95) = 360 - 270 = 90 degrees.

If a quadrilateral has angles measuring 90 degrees, 85 degrees, 95 degrees, and x degrees, what is the value of x?

If a quadrilateral has angles measuring 90 degrees, 85 degrees, 95 degrees, and x degrees, what is the value of x?

Step 1: Understand that a quadrilateral has four angles.
Step 2: Know that the sum of all angles in a quadrilateral is always 360 degrees.
Step 3: Write down the angles you have: 90 degrees, 85 degrees, 95 degrees, and x degrees.
Step 4: Add the known angles together: 90 + 85 + 95.
Step 5: Calculate the sum: 90 + 85 = 175, then 175 + 95 = 270 degrees.
Step 6: Now, use the total angle sum of 360 degrees to find x: x = 360 - 270.
Step 7: Calculate x: 360 - 270 = 90 degrees.
Step 8: Conclude that the value of x is 90 degrees.

Sum of Interior Angles – The sum of the interior angles of a quadrilateral is always 360 degrees.
Angle Calculation – Finding the measure of an unknown angle by subtracting the sum of known angles from 360 degrees.