Question

What is the value of X?

A. 6
B. 7
C. 8
D. 9

Answer 1

The value of x is 9 dude!

Answer 2

The value of x would be 6.

Explanation:

In triangles BCG and BAG,

BG ≅ BG ( Common segment )

∠GCB ≅ ∠ GAB ( Right angles )

∠ GBC ≅ ∠ GBA ( by diagram )

By AAS congruence postulate,

`\triangle GCB\cong \triangle BAG`

By CPCTC,

CG = AG,

We have,

CG = 4x - 16 and AG = 2x - 4

By substituting the values,

4x - 16 = 2x - 4

4x - 2x = -4 + 16

2x = 12

x = 6

Hence, the value of x would be 6.