Question

(6) If one of the interior angles of a triangle is 70°, what could be the least possible exterior
angle of the triangle?
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Answer 1

Answer:

I think 110° is the answer most probably

Step-by-step explanation:

Please mark my answer as brainliest

Answer 2

Answer:

If the largest angle in a triangle is 70, what is the least possible value of the smallest angle of the triangle?

Let the triangle be called △ABC and let ∠A be the largest angle and ∠C be the smallest angle.

⇒∠A=70.

If the largest angle in a triangle is 70, the sum of the other two angles is 110.

⇒∠B+∠C=110.

At the least possible value of ∠C, the value of ∠B would be the greatest possible value.

Since ∠A is the largest angle, ∠B cannot be greater than or equal to ∠A.

Let ∠B=∠A−δ, where δ is an arbitrarily small positive number.

⇒∠C=110−∠B=110−∠A+δ=40+δ.

⇒ To get the least possible value of ∠C, we have to get the least possible value of δ.

For any positive value of δ, no matter how small, we can always get a number δ2 smaller than that number.

⇒ There is no least possible value of δ.

⇒ There is no least possible value of the smallest angle of the triangle, meeting the given conditions.