Question
An exterior angle of a triangle is 105o and its two interior opposite angles are equal. Each of these equal interior angles are
Answer: Option B
:
B
From the properties of triangles:
Exterior angle = Sum of interior opposite angles
Now let us take each interior opposite angle asx ( as both interior opposite angles are equal)
⇒ x + x = 105∘
⇒ 2x = 105∘
⇒ x = 52.5∘
So the value of each of the opposite interior angle= 52.5∘
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:
B
From the properties of triangles:
Exterior angle = Sum of interior opposite angles
Now let us take each interior opposite angle asx ( as both interior opposite angles are equal)
⇒ x + x = 105∘
⇒ 2x = 105∘
⇒ x = 52.5∘
So the value of each of the opposite interior angle= 52.5∘
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