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What’s the value of x
A- 86.5
B- 43.25
C- 133.25
D- 46.75

What’s the value of x A- 86.5 B- 43.25 C- 133.25 D- 46.75-example-1

1 Answer

4 votes

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
180^o.


\angle D+\angle F+\angle E=180^o

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Side DF = Side EF

So,
\angle D=\angle E=x^o

Given :
\angle F=93.5^o


x^o+93.5^o+x^o=180^o


2x^o+93.5^o=180^o


2x^o=180^o-93.5^o


2x^o=86.5^o


x^o=(86.5^o)/(2)


x=43.25^o

Thus, the value of 'x' is,
43.25^o

User Fretje
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