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

Question

asked Apr 16, 2018 148k views

1 Answer

Fretje · Answer 1 · 2018-04-22T09:11:45+0000

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
.

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

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,