What is the value of X? A. 6 B. 7 C. 8 D. 9

Question

asked Jun 27, 2020 210k views

2 Answers

Muhammad Ahmed · Answer 1 · 2020-07-04T01:59:37+0000

Answer:

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.