Math Problem Statement
Вычисли остальные углы параллелограмма, если угол C равен 44°.
Solution
To solve the problem and find the remaining angles of the parallelogram, we will use the properties of a parallelogram:
- Opposite angles are equal.
- Adjacent angles are supplementary (sum up to ).
Given:
Step-by-Step Solution:
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Since opposite angles are equal, we know:
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The adjacent angles are supplementary: Substituting : Solving for :
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Since opposite angles are equal, we know:
Final Answer:
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Related Questions:
- What are the properties of a parallelogram?
- How do you calculate adjacent angles in any quadrilateral?
- What are the special cases of parallelograms, like rectangles or rhombuses?
- How do you prove that opposite angles are equal in a parallelogram?
- Can the interior angles of a parallelogram ever be all equal?
Tip:
Always remember that in a parallelogram, opposite angles are congruent, and consecutive (adjacent) angles are supplementary.
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Math Problem Analysis
Mathematical Concepts
Geometry
Parallelogram Properties
Angles
Formulas
Sum of adjacent angles in a parallelogram: ∠C + ∠D = 180°
Opposite angles in a parallelogram are equal: ∠A = ∠C, ∠B = ∠D
Theorems
Properties of a Parallelogram
Suitable Grade Level
Grades 6-8