Answer : The correct option is, (B) 43.25
Step-by-step explanation :
As we know that the sum of interior angles of a triangle is equal to [tex]180^o[/tex].
[tex]\angle D+\angle F+\angle E=180^o[/tex]
The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.
Side DF = Side EF
So, [tex]\angle D=\angle E=x^o[/tex]
Given : [tex]\angle F=93.5^o[/tex]
[tex]x^o+93.5^o+x^o=180^o[/tex]
[tex]2x^o+93.5^o=180^o[/tex]
[tex]2x^o=180^o-93.5^o[/tex]
[tex]2x^o=86.5^o[/tex]
[tex]x^o=\frac{86.5^o}{2}[/tex]
[tex]x=43.25^o[/tex]
Thus, the value of 'x' is, [tex]43.25^o[/tex]
