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In figure, ABC is an isosceles triangle. Angle ABC equal to angle ACB equal to 80 degree. A line intersect the sides AC at E and side AB at F respectively. What is the value of x in the triangle ABC?

In figure, ABC is an isosceles triangle. Angle ABC equal to angle ACB equal to 80 degree. A line intersect the sides AC at E and side AB at F respectively. What is the value of x in the triangle ABC? 

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Grade:11

1 Answers

Ravi
15 Points
5 years ago
Let the point of intersection of line CF & BE is O 
Now angle(BOC) =70 [since sum of all angles in a triangle is 180°]  and angle(FOE) = 70° [ since opposite angles] 
And angle(AFC) = angle(BFC) =90° from which now angle(EOC) = 150°    ,angle(OEC)=0°  and  angle(BEF) = 90°
which is "x" for us     so therefore 
X = 90°
 

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