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Question
In the adjoining figure, the value of x is:
Options
100°
105°
115°
130°
MCQ
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Solution
115°
Explanation:
The triangle is isosceles.
So, the two base angles are equal.
Each base angle
= `(180^circ - 50^circ)/2`
= 65°
The exterior angle x at the base is the supplement of the base interior angle or equivalently equals the sum of the two opposite interior angles.
So, x = 180° – 65°
= 115°
Or x = 50° + 65°
= 115°
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