Answer:
The value of x is 6
Step-by-step explanation:
AAS postulate of congruence is:
- two triangles are congruent if 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
In the given figure
∵ JKL and JML are two triangles
∵ ∠K and ∠M are right angles
∴ ∠K ≅ ∠M
∵ ∠JLK and ∠JLM have the same mark
∴ ∠JLK ≅ ∠ JLM
∵ JL is a common side in the 2 triangles
∴ JL = JL
→ BY using the AAS postulate above
∴ ΔJKL ≅ ΔJML
→ From the result of congruency
∴ JK = JM
∵ Jk = 2x - 4
∵ JM = 4x - 16
→ Equate them
∴ 4x - 16 = 2x - 4
→ Subtract 2x from both sides
∴ 4x - 2x - 16 = 2x - 2x - 4
∴ 2x - 16 = -4
→ Add 16 to both sides
∵ 2x - 16 + 16 = -4 + 16
∴ 2x = 12
→ Divide both sides by 2
∴ x = 6
