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Answer :
Final answer:
In an isosceles trapezoid, the measures of AB and CD are equal. To find the measures of AE, ER, and ED, we use the fact that the diagonals are congruent.
Explanation:
An isosceles trapezoid is a quadrilateral with two parallel sides of equal length. In this case, let's label the parallel sides as AB and CD, with AB being longer than CD. The other two sides, BC and AD, are the non-parallel sides.
Since it's an isosceles trapezoid, AB = CD. Therefore, AB = CD = 8x - 15.
To find the measures of segments AE, ER, and ED, we need to use the fact that the diagonals of an isosceles trapezoid are congruent.
Segment AE can be found by subtracting the length of segment ER from AB, so AE = AB - ER = 8x - 15 - (5y - 6).
Segment ED can be found by subtracting the length of segment ER from CD, so ED = CD - ER = 8x - 15 - (5y - 6).
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