How to find an angle in a rhombus - ISEE Upper Level Mathematics Achievement
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Question
Consider the rhombus below. Solve for 
.
Consider the rhombus below. Solve for
Answer
The total sum of the interior angles of a quadrilateral is 
degrees. In this problem, we are only considering half of the interior angles:
The total sum of the interior angles of a quadrilateral is
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Question
Note: Figure NOT drawn to scale.
The above depicts a rhombus and one of its diagonals. What is 
?
Note: Figure NOT drawn to scale.
The above depicts a rhombus and one of its diagonals. What is
Answer
The diagonals of a rhombus bisect the angles.
The angle bisected must be supplementary to the 
angle since they are consecutive angles of a parallelogram; therefore, that angle has measure 
, and 
is half that, or 
.
The diagonals of a rhombus bisect the angles.
The angle bisected must be supplementary to the
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