Question

Isosceles trapezoid ABCD has legs and and base If AB = 6y – 6, BC = 4y – 7, and CD = 7y – 12, find the value of y.

Answer 1

We know that the opposite angles in the trapezoid are equal, hence, we have the following:
AB=CD
BC=AD

Solving for Y:
AB=CD

Perform transposition method and combine same term.
6Y-6=7Y-12
7Y-67 = -6 +12
Y=6

The value of Y is 6.