Answer:
Therefore the value of x is 4.
Step-by-step explanation:
Given:
AO = 5x - 8
BO = 3x
AM ≅ BM
To Find :
x = ?
Solution:
In Δ AMO and Δ BMO
AM ≅ BM ……….{Given}
∠ AMO ≅ ∠ BMO …………..{measure of each angle is 90° given}
MO ≅ MO ……….{Reflexive property}
ΔAMO ≅ Δ BMO ….{ By Side-Angle-Side test}
∴ AO ≅ BO ...{corresponding sides of Congruent triangles or CPCT}
on substituting the values we get
[tex]5x-8=3x\\\\5x-3x=8\\\\2x=8\\\\x=\frac{8}{2}=4[/tex]
Therefore the value of x is 4.
