ACT Math : Rhombuses
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Example Questions
Example Question #1 : Rhombuses
The two acute angles in a rhombus add up to 
The key here is to know that a rhombus has two pairs of congruent angles. In other words, the two acute angles of a rhombus are equal and the two obtuse angles are equal.
In this problem, since the two acute angles add up to 
It is also important to know that the four angles of a rhombus add up to 
Finally, because the obtuse angles add up to 
Example Question #1 : Rhombuses
A rhombus has two interior angles each with a measurement of 
First, consider that the sum total of the four interior angles in any rhombus must equal 
One way to approach this problem is to realize that each of the remaining two angles must have the same measurement, and that each will be supplementary angles with 
The correct answer is:
Example Question #1 : How To Find An Angle In A Rhombus
A rhombus has an interior angle with a measurement of 
A rhombus must have two sets of equivalent opposite interior angles, and a rhombus must have two sets of adjacent interior angles. The adjacent interior angles must be supplementary—meaning they have a sum total of 
If a rhombus has an interior angle that has a measurement of 
Example Question #1 : Rhombuses
A rhombus has two opposite interior angles that have a sum of 
The sum total of the four interior angles in any rhombus must equal 
Since, two of the opposite interior angles in this rhombus have a sum measurement of 
To check your answer note: 
Example Question #1 : How To Find An Angle In A Rhombus
Using the rhombus shown above, find the measurement for angle 
A rhombus must have two sets of equivalent opposite interior angles, and a rhombus must have two sets of adjacent interior angles. The adjacent interior angles must be supplementary—meaning they have a sum total of 
Since this problem involves supplementary angles, the solution is:
Example Question #1 : How To Find An Angle In A Rhombus
A rhombus has two interior angles each with a measurement of 
The sum total of the four interior angles in any rhombus must equal 
One way to approach this problem is to realize that each of the remaining two angles must have the same measurement, and that each will be supplementary angles with 
Find the difference between 
Example Question #2 : Rhombuses
A rhombus has two interior angles each with a measurement of 
To solve this problem, consider that the sum total of the four interior angles in any rhombus must equal 
Since this problem provides the measurement for two of the interior angles, find the sum of those two angles. Then subtract that sum from 
The solution is:
Example Question #3 : Rhombuses
A rhombus has two interior angles each with a measurement of 
To solve this problem, consider that the sum total of the four interior angles in any rhombus must equal 
Since this problem provides the measurement for two of the interior angles, find the sum of those two angles. Then subtract that sum from 
The solution is:
Example Question #6 : How To Find An Angle In A Rhombus
A rhombus has an interior angle with a measurement of 
A rhombus must have two sets of equivalent opposite interior angles, and a rhombus must have two sets of adjacent interior angles. The adjacent interior angles must be supplementary—meaning they have a sum total of 
Therefore, if a rhombus has an interior angle that has a measurement of 
Example Question #4 : Rhombuses
Using the rhombus shown above, find the measurement for angle
A rhombus must have two sets of equivalent opposite interior angles, and a rhombus must have two sets of adjacent interior angles. The adjacent interior angles must be supplementary—meaning they have a sum total of 
Since this problem involves supplementary angles, the solution is:
Check answer by:
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