Find the measure up of angle
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The sum of the angle in any kind of quadrilateral is 360°, and the properties of one isosceles trapezoid dictate the the to adjust of angle adjoined through parallel lines (in this case, the bottom collection and top collection of angles) are equal. Individually 2(72°) indigenous 360° gives the amount of the two peak angles, and also dividing the result 216° by 2 returns the measurement of x, which is 108°.
As a rule, surrounding (non-paired) angles in a trapezoid are supplementary. Thus, we understand that if
To find the measure up of edge DAC, us must recognize that the internal angles of all triangles sum up to 180 degrees. Also, together this is one isosceles trapezoid,
Now the we recognize two angle out of the three in the triangle top top the left, we have the right to subtract them indigenous 180 degrees to find
All quadrilaterals" interior angles amount to 360°. In isosceles trapezoids, the two peak angles are equal to every other.
Similarly, the 2 bottom angles space equal come each various other as well.
See more: Four Quarts Equals How Many Gallons Conversion (Qt To Gal), Quarts To Gallons Conversion
Therefore, to discover the amount of the two bottom angles, us subtract the steps of the peak two angles from 360:
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