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First, look closely: The image is a worksheet titled "Quadrilateral - Angles." It contains nine problems, each showing a quadrilateral with some angles labeled and one angle marked with a variable (like x, y, z, etc.). The task is to find the measure of the indicated angle in each quadrilateral. To solve this, I need to use the property that the sum of the interior angles of any quadrilateral is always 360 degrees. For each problem, I will add up the known angles and subtract that sum from 360 to find the missing angle.
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Next, find information: I don't need to use a tool for this as the solution relies on a fundamental geometric principle: the sum of interior angles of a quadrilateral is 360°.
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Then, review the findings: The plan is sound. I will now calculate the missing angle for each of the nine problems.
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1) m∠K = 85°
2) m∠Z = 90°
3) m∠T = 75°
4) m∠S = 90°
5) m∠R = 100°
6) m∠E = 70°
7) m∠N = 80°
8) m∠P = 75°
9) m∠V = 90°
Parent Tip: Review the logic above to help your child master the concept of quadrilateral angles worksheet.
