How to find an angle in a rhombus

ISEE Upper Level Quantitative Reasoning · Learn by Concept

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ISEE Upper Level Quantitative Reasoning › How to find an angle in a rhombus

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1

Consider the rhombus below. Solve for .

Problem_10

CORRECT

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Explanation

The total sum of the interior angles of a quadrilateral is degrees. In this problem, we are only considering half of the interior angles:

2

Rhombus

Note: Figure NOT drawn to scale.

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

CORRECT

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Explanation

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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