Question

Quadrilateral BCDE is an isosceles trapezoid, BD=t+90, and CE=10t–54. What is the value of t?

Answer 1

t = 16

Explanation:

B and C are corresponding points.

D and E are also corresponding points.

Hence, BD = CE.

t + 90 = 10t - 54 ==> substitute t + 90 for BD and 10t - 54 for CE

t + 144 = 10t ==> add 54 on both sides

144 = 9t ==> subtract 9t on both sides

t = 16 ==> divide both sides by 9