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Question
Is the following statement true and false :
An exterior angle of a triangle is less than either of its interior opposite angles.
Options
Ture
False
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Solution
An exterior angle of a triangle is less than either of its interior opposite angles
According to the exterior angle property, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In ΔABC
Let x be the exterior angle
So,
x = ∠CAB +∠CBA
Now, if x is less than either of its interior opposite angles
x < ∠CAB +∠CBA
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