In parallelogram

, and the elevation is . What is ?Explanation:

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

. Due to the fact that we know the lengths of two sides that this triangle, we have the right to use trigonometry come find .With respect to

, we understand the values of the opposite and also hypotenuse political parties of the triangle. Thus, we deserve to use the sine duty to deal with for .Explanation:

In a parallelogram, consecutive angles are supplementary (i.e. Include to

) and also opposite angles room congruent (i.e. Equal). Making use of these properties, we have the right to write a mechanism of equations.1.

2.

Starting through equation 1.,

Now substituting into equation 2.,

Finally, since opposite angles are congruent, we recognize that

.Explanation:

In a parallelogram, continuous angles room supplementary and opposite angles are congruent. Utilizing these properties, we deserve to write a system of equations.

1.

2.

3.

Starting with equation 1.,

Substituting into equation 2.,

Using equation 3.,

Explanation:

In a parallelogram, continuous angles space supplementary and opposite angles room congruent.

Explanation:

In the above parallelogram,

and are consecutive angle (i.e. Next to each other). In a parallelogram, consecutive angle are supplementary, an interpretation they add to .Explanation:

In parallelogram

, and are the contrary angles. In a parallelogram, the contrary angles are congruent. This way these two angles are equal.Explanation:

In a parallelogram, continually angles space supplementary.

and are consecutive, so their amount is .University that Georgia, Bachelors, Sociology (Pre-medicine completed). Georgetown college Law center Offer of Admission, PH...

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