Math Problem Statement
Given the rhombus with m <CAB = 35 º, find m <CDA.
Solution
In a rhombus, opposite angles are equal, and adjacent angles are supplementary (i.e., they add up to 180º). Here's the step-by-step reasoning:
- Given information: .
- Opposite angles: In a rhombus, opposite angles are equal, so .
- Adjacent angles: Adjacent angles in a rhombus are supplementary, so: Substituting : Solving for :
Thus, .
Would you like a further explanation or have any questions? Here are a few related questions you might find interesting:
- How do you calculate the angles in a parallelogram?
- What are the properties of the diagonals of a rhombus?
- How can you prove that opposite angles of a rhombus are equal?
- How do you calculate the area of a rhombus given its side length and one of the angles?
- What is the relationship between the diagonals and angles in a rhombus?
Tip: Always remember that the sum of the interior angles of any quadrilateral is 360º, which helps in angle-related problems!
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Math Problem Analysis
Mathematical Concepts
Geometry
Rhombus Properties
Angles of Quadrilaterals
Formulas
Adjacent angles in a rhombus are supplementary (sum to 180º)
Theorems
Opposite angles of a rhombus are equal
Adjacent angles in a rhombus are supplementary
Suitable Grade Level
Grades 7-10