ISEE Upper Level Math : How to find an angle in a rhombus

Study concepts, example questions & explanations for ISEE Upper Level Math

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Example Questions

Example Question #291 : Plane Geometry

Consider the rhombus below. Solve for .


Possible Answers:

Correct 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:

Example Question #1 : Rhombuses


Note: Figure NOT drawn to scale.

The above depicts a rhombus and one of its diagonals. What is ?

Possible Answers:

Correct 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 .

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