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In a offered parallelogram, the measure of among the internal angles is 25 degrees less 보다 another. What is the approximate measure rounded to the nearest level of the larger angle?


Explanation:

There room two components to fixing this geometry puzzle. First, one must be mindful that the sum of the actions of the interior angles the a parallel is 360 levels (sum of the interior angles that a figure = 180(n-2), whereby n is the number of sides of the figure). Second, one must know that the other two internal angles are doubles of those offered here. Thus if us assign one internal angle together x and the various other as x-25, we discover that x + x + (x-25) + (x-25) = 360. Combining like terms leads to the equation 4x-50=360. Fixing for x we find that x = 410/4, 102.5, or roughly 103 degrees. Due to the fact that x is the measure of the bigger angle, this is ours answer.

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Example question #2 : just how To find An angle In A parallelogram


*

Figure 

*
 is a parallelogram.

Quantity A: The largest angle of 

*
.

Quantity B: 

*


Which that the complying with is true?


Possible Answers:

The two amounts are equal.


Quantity A is larger.


The relationship cannot be determined.


Quantity B is larger.


Correct answer:

The two amounts are equal.


Explanation:

By using the properties of parallelograms in addition to those the supplementary angles, we have the right to rewrite our figure as follows:

*

Recall, for example, the angle 

*
 is same to:

*
, hence 
*

Now, you know that this angles have the right to all be added up to 

*
. You should additionally know that 
*

Therefore, you deserve to write:

*

Simplifying, girlfriend get:

*

*

*

Now, this means that:

*
 and 
*
. Thus, the 2 values room equal.

 


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Example question #1 : exactly how To find An edge In A parallel


*

Figure 

*
 is a parallelogram.


What is 

*
 in the figure above?


Possible Answers:

*


Cannot be computed native the data given.

See more: Qu A Parallelogram With Four Congruent Sides And Four Right Angles


*



Correct answer:


Explanation:

Because of the character of parallelograms, we recognize that our figure can it is in redrawn as follows:

*

Because that is a four-sided figure, we recognize that the sum of the angles need to be 

*
. Thus, we know:

*

Solving for 

*
, we get:

*

*


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