Math Problem Statement
Solution
In the given parallelogram, we need to find the values of angles , , and . Here's how we approach this problem:
Key Properties of a Parallelogram:
- Opposite angles of a parallelogram are equal.
- Adjacent angles in a parallelogram are supplementary (they add up to ).
Solution Steps:
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The angle labeled is an adjacent angle to , and since adjacent angles in a parallelogram are supplementary:
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Opposite angles are equal in a parallelogram. Therefore:
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Since is opposite to the angle, we know:
Final Values:
Would you like further details on this solution or any related concepts?
Here are some related questions for practice:
- What is the sum of all interior angles in any parallelogram?
- Can a parallelogram have right angles?
- How do you find the area of a parallelogram?
- What is the difference between a rhombus and a parallelogram?
- How do diagonals behave in a parallelogram?
Tip: Remember, in any parallelogram, opposite angles are always equal, and adjacent angles are supplementary.
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Math Problem Analysis
Mathematical Concepts
Geometry
Parallelogram Properties
Formulas
Adjacent angles in a parallelogram are supplementary (add up to 180°)
Opposite angles in a parallelogram are equal
Theorems
Parallelogram Angle Properties
Suitable Grade Level
Grades 6-8