Answer : The value of 'x' is, 13
Step-by-step explanation :
Condition of similar triangles :
If two corresponding angles are equal.
If three corresponding sides are in same ratio.
The ratio of two pairs of corresponding sides are equal and their included angle are equal.
As we are given that:
[tex]\Delta ABC\sim \Delta EDC[/tex]
So,
∠B = ∠D
[tex](8x+16)^o=120^o[/tex]
[tex]8x+16^o=120^o[/tex]
[tex]8x=120^o-16^o[/tex]
[tex]8x=104^o[/tex]
[tex]x=\frac{104^o}{8}[/tex]
[tex]x=13[/tex]
Therefore, the value of 'x' is, 13
