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Example Questions
Example Question #1 :How To Find An Angle In A Rhombus
A rhombus has two interior angles with a measurement ofdegrees. What is the measurement of each of the other two interior angles?
Not enough information is provided to solve this problem.
Both of the remaining angles aredegrees.
One angle isdegrees and the other angle must bedegrees.
All of the interior angles of the rhombus aredegrees.
Both of the remaining angles aredegrees.
The four interior angles in any rhombus must have a sum ofdegrees. The opposite interior angles must be equivalent, and the adjacent angles have a sum ofdegrees.
Thus, if a rhombus has two interior angles ofdegrees, there must also be two angles that equal:
Check:
Example Question #2 :How To Find An Angle In A Rhombus
Using the rhombus above, find the sum of anglesand
The four interior angles in any rhombus must have a sum ofdegrees.
The opposite interior angles must be equivalent, and the adjacent angles have a sum ofdegrees.
年代incethen,
Example Question #3 :How To Find An Angle In A Rhombus
In the above rhombus, angledegrees. Find the sum of anglesand
The four interior angles in any rhombus must have a sum ofdegrees. The opposite interior angles must be equivalent, and the adjacent angles have a sum ofdegrees.
年代ince,
And
年代o,
Example Question #4 :How To Find An Angle In A Rhombus
In the rhombus shown above, anglehas a measurement ofdegrees. Find the measurement of angle.
The four interior angles in any rhombus must have a sum ofdegrees.
The opposite interior angles must be equivalent, and the adjacent angles have a sum ofdegrees.
年代ince angleis adjacent to angle, they must have a sum ofdegrees.
The solution is:
Example Question #5 :How To Find An Angle In A Rhombus
In the rhombus shown above, anglehas a measurement ofdegrees. Find the sum of anglesand
The four interior angles in any rhombus must have a sum ofdegrees.
The opposite interior angles must be equivalent, and the adjacent angles have a sum ofdegrees.
Anglesandare opposite interior angles, so they must have equivalent measurements.
The sum is:
Example Question #6 :How To Find An Angle In A Rhombus
Anglehas a measurement ofdegrees. Find the sum of anglesand
The four interior angles in any rhombus must have a sum ofdegrees.
The opposite interior angles must be equivalent, and the adjacent angles have a sum ofdegrees.
年代ince, both anglesandare adjacent to angle--find the measurement of one of these two angles by:.
Angleand anglemust each equaldegrees. So the sum of anglesanddegrees.
Example Question #1 :How To Find An Angle In A Rhombus
Given: Parallelogramsuch that.
True or false: Parallelogramcannot be a rhombus.
False
True
False
菱形的定义与佛是一个平行四边形ur congruent sides; there is no restriction as to the measures of the angles. Therefore, a rhombus can have angles of any measure. The correct choice is "false".
Example Question #1 :How To Find An Angle In A Rhombus
Given: Rhombuswith diagonalsandintersecting at point.
True or false:must be a right angle.
False
True
True
One characteristic of a rhombus is that its diagonals are perpendicular. It follows thatmust be a right angle.
Example Question #1 :How To Find An Angle In A Rhombus
Given Rhombusand diagonal.
The rhombus referenced is below:
As a rhombus is a parallelogram, consecutive anglesandare supplementary - that is,
.
年代etand solve:
A diagonal of a rhombus bisects the angles at its endpoints, so, specifically,bisects. Therefore,
.
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