Question

OB is the perpendicular bisector of AD. AO = 2x + 5 and OD = 3x _ 5. Solve for x

Answer 1

x=10

Explanation:

OB is the perpendicular bisector of AD

Perpendicular bisector divides the line segment into two equal parts.

Thus, AO=OD

We can see in figure that attached.

So, we will equate both expression equal and solve for x

2x+5=3x-5

3x-2x=5+5

x=10

Hence, The value of x is 10

Answer 2

As OB is the perpendicular bisector of AD. So AO = OD
Hence 2x + 5 = 3x – 5
3x – 2x = 5 + 5
x = 10