Math Problem Statement
Solution
The problem provides three angles of a quadrilateral (A, B, C) and asks for the fourth angle (D). Specifically, we know:
In any quadrilateral, the sum of all interior angles is always 360 degrees. Using this fact, we can determine the value of by summing the known angles and subtracting from 360°.
Here's the calculation:
Substitute the given values:
Thus, .
Would you like more details, or do you have any questions?
Follow-up Questions:
- What is the formula to find the sum of angles in a polygon?
- How does the sum of angles change for different polygons (triangle, pentagon, etc.)?
- Why do quadrilaterals always have a total of 360°?
- Can you use this method for irregular quadrilaterals as well?
- How would the problem change if one of the angles were unknown instead of three?
Tip:
Remember, the sum of interior angles of any polygon can be calculated using the formula , where is the number of sides of the polygon.
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Math Problem Analysis
Mathematical Concepts
Geometry
Quadrilaterals
Angle Sum of Polygons
Formulas
Sum of interior angles in a quadrilateral = 360°
Theorems
Interior Angle Sum Theorem
Suitable Grade Level
Grades 6-8
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