Question

7. In the diagram below, AB = CD. Find the length of AD.

2x+8
X-3
4x-6
A
B
C
D

Answer 1

AD=6

Explanation:

If AB=CD then 2x+8=4x+6, this can be rearranged to get 8-6=4x-2x or 2=2x or x=1.

AD=AB+BC+CD or AD=(2x+8)+(x-3)+(4x-6) this can be rearranged as AD=(2x+x+4x)+(8-3-6) or AD=7x-1 and we know x=1 so AD=6.