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Answer :
Final answer:
To determine the fourth angle of a quadrilateral, subtract the sum of the three given angles from 360 degrees. In this case, the fourth angle measures 66 degrees.
Explanation:
To find the measure of the fourth angle in a quadrilateral when the other three angles are known, you must use the fact that the sum of the interior angles in any quadrilateral is always 360 degrees. Given three angles with measures of 22 degrees, 132 degrees, and 140 degrees, you can calculate the fourth angle by subtracting the sum of these three angles from 360 degrees.
First, add together the known angles: 22 + 132 + 140 = 294 degrees. Then, subtract this sum from the total sum of interior angles of a quadrilateral: 360 - 294 = 66 degrees. Therefore, the measure of the fourth angle is 66 degrees.
The correct answer is D. 66 degrees.
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Answer:
D. 66°
Step-by-step explanation:
The interior angle sum of any quadrilateral is 360°. All quadrilaterals will have 4 angles. So add up the 3 given angles, then subtract that from 360 to determine the measure of the 4th angle.
22° + 132° + 140° + (angle 4)° = 360°
294° + (angle 4)° = 360 ° (add up the 3 known angles)
(angle 4)° = 66° (subtract 294° from both sides to determine angle 4)
