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Example Questions
Example Question #1 :How To Find An Angle In A Parallelogram
A parallelogram contains 2 angles measuring 135 and 45. What are the measures of the other 2 angles?
Any pair of numbers which add to 180
Parallelograms have angles totalling 360 degrees, but also have matching pairs of angles at the ends of diagonals. Therefore the 2 additional angles must match the 2 given in the question.
Example Question #2 :How To Find An Angle In A Parallelogram
Using the above rhombus, find the measurement of angle
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees)--i.e. anglesdegrees.
Thus, the solution is:
Example Question #1 :How To Find An Angle In A Parallelogram
Using the above rhombus, find the measurement of angle.
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees)--i.e. anglesdegrees.
Thus,
Example Question #1 :How To Find An Angle In A Parallelogram
Using the above rhombus, find the sum of angleand angle.
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees).
Thus, the solution is:
Example Question #5 :How To Find An Angle In A Parallelogram
Given that the measurement of angledegrees, find the sum of angleand angle
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees)--i.e. anglesdegrees.
The solution to this problem is:
Therefore,
Example Question #6 :How To Find An Angle In A Parallelogram
Using the above rhombus, find the measurement of angle
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees).
Thus, the solution is:
Example Question #7 :How To Find An Angle In A Parallelogram
In the above rhombus, anglehas a measurement ofdegrees. Find the sum of anglesand
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees)--i.e. anglesdegrees.
The solution to this problem is:
Thus,
Example Question #8 :How To Find An Angle In A Parallelogram
使用parallelogram above, find the measurement of angle
A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees).
Since, angleandare supplementary the solution is:
Example Question #9 :How To Find An Angle In A Parallelogram
使用parallelogram above, find the sum of anglesand.
A rhombus must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees).
The first step to solving this problem is to find the measurement of angle. Since angleis a supplementary angle to angle, angle
Since, angleandare opposite interior angles they must be equivalent.
Thus, the final solution is:
Example Question #10 :How To Find An Angle In A Parallelogram
使用parallelogram above, find the sum of anglesand.
A parallelogram must have equivalent opposite interior angles. Additionally, the sum of all four interior angles must equaldegrees. And, the adjacent interior angles must be supplementary angles (sum ofdegrees).
Since, anglesandare opposite interior angles, they must be equivalent.
Therefore, the solution is:
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