We can start this problem by illustration the height and labeling the lengths with the offered values.
You are watching: Consecutive angles in a parallelogram are
When we carry out this, we have the right to see that us have attracted a triangle inside the paralellogram including
With respect to
In a parallelogram, consecutive angles are supplementary (i.e. Include to
Starting through equation 1.,
Now substituting into equation 2.,
Finally, since opposite angles are congruent, we recognize that
In a parallelogram, continuous angles room supplementary and opposite angles are congruent. Utilizing these properties, we deserve to write a system of equations.
Starting with equation 1.,
Substituting into equation 2.,
Using equation 3.,
In a parallelogram, continuous angles space supplementary and opposite angles room congruent.
In the above parallelogram,
In a parallelogram, continually angles space supplementary.
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