If a quadrilateral has angle measurements of 85 degrees, 36 degrees and 110 degrees, the last angle equals:

Study for the ABSA 4th Class Power Engineer Test. Explore questions with hints and explanations. Get ready to ace the exam!

In a quadrilateral, the sum of all four interior angles is always 360 degrees. Given three angles measuring 85 degrees, 36 degrees, and 110 degrees, you can find the fourth angle by first calculating the total of the known angles.

Adding the three angles together gives:

85 + 36 + 110 = 231 degrees.

To find the measure of the fourth angle, subtract this sum from 360 degrees:

360 - 231 = 129 degrees.

Therefore, the last angle of the quadrilateral is 129 degrees, which corresponds to the correct option. This calculation is essential for any quadrilateral, as it ensures a fundamental property of polygons is upheld.

Understanding this principle helps reinforce the concept that in any polygon, the interior angles have specific relationships defined by their number of sides, allowing for systematic calculation of missing angles.

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