How to find an angle in a rhombus - ISEE Upper Level Quantitative Reasoning
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Consider the rhombus below. Solve for
.

Consider the rhombus below. Solve for .
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 degrees. In this problem, we are only considering half of the interior angles:
Compare your answer with the correct one above

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 ?
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 angle since they are consecutive angles of a parallelogram; therefore, that angle has measure
, and
is half that, or
.
Compare your answer with the correct one above
Consider the rhombus below. Solve for
.

Consider the rhombus below. Solve for .
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 degrees. In this problem, we are only considering half of the interior angles:
Compare your answer with the correct one above

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 ?
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 angle since they are consecutive angles of a parallelogram; therefore, that angle has measure
, and
is half that, or
.
Compare your answer with the correct one above
Consider the rhombus below. Solve for
.

Consider the rhombus below. Solve for .
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 degrees. In this problem, we are only considering half of the interior angles:
Compare your answer with the correct one above

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 ?
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 angle since they are consecutive angles of a parallelogram; therefore, that angle has measure
, and
is half that, or
.
Compare your answer with the correct one above
Consider the rhombus below. Solve for
.

Consider the rhombus below. Solve for .
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 degrees. In this problem, we are only considering half of the interior angles:
Compare your answer with the correct one above

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 ?
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 angle since they are consecutive angles of a parallelogram; therefore, that angle has measure
, and
is half that, or
.
Compare your answer with the correct one above