Maths
General
Easy
Question
Compute the value of x in the given figure.



 .
Hint:
Using the property, “an exterior angle of a triangle is equal to the sum of its two opposite interior angles”.
The correct answer is:
Detailed Solution
In the given figure,
Here we will produce AD to meet BC at E
Now using angle sum property of the triangle
In ,
Further, BEC is a straight line. So, using the property, “the angles forming a linear pair are supplementary”, we get
Also, using the property, “an exterior angle of a triangle is equal to the sum of its two opposite interior angles”. In ΔDEC, x is its exterior angle. Thus,
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