action Math help » Geometry » airplane Geometry » quadrilateral » Trapezoids » just how to find an edge in a trapezoid

Find the measure up of angle 

*
in the isosceles trapezoid pictured below.

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*


*


*


*


Explanation:

The amount of the angle in any type of quadrilateral is 360°, and the properties of an isosceles trapezoid dictate that the sets of angle adjoined by parallel present (in this case, the bottom set and top collection of angles) space equal. Subtracting 2(72°) native 360° offers the amount of the two height angles, and also dividing the resulting 216° through 2 returns the measure of x, which is 108°.


Explanation:

As a rule, surrounding (non-paired) angle in a trapezoid space supplementary. Thus, we recognize that if 

*
, then 
*
. Since we are told that 
*
 and 
*
 are paired and also trapezoid 
*
 is isosceles, 
*
 must likewise equal 
*
.


Explanation:

To discover the measure of angle DAC, us must recognize that the interior angles of every triangles amount up come 180 degrees. Also, as this is one isosceles trapezoid,

*
 and
*
 are equal to every other. The two diagonals within the trapezoid bisect angles
*
 and 
*
 at the exact same angle.

Thus,

*
 must likewise be same to 50 degrees.

Thus,

*
.

Now the we recognize two angles out that the 3 in the triangle top top the left, we can subtract them from 180 levels to find

*
:

*


Explanation:

All quadrilaterals" internal angles amount to 360°. In isosceles trapezoids, the two top angles space equal to each other.

Similarly, the 2 bottom angles room equal come each various other as well.

Therefore, to uncover the sum of the 2 bottom angles, we subtract the procedures of the optimal two angles from 360:

*


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