The value of the exterior angle of a triangle is equal to the sum of ____.

the two interior opposite angles

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the other two exterior angles of a triangle

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all the interior angles of a triangle

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the value of external angles of a triangles cannot be found

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Solution

The correct option is A
the two interior opposite angles

The external angle axiom states that the value of the external angle is the sum of the opposite interior angles.

In the figure, $∠ 4 = ∠ 1 + ∠ 2$

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Similar questions

An exterior angle of a triangle is equal to the sum of the two interior opposite angles.

An exterior angle of a triangle is 105^o and its two interior opposite angles are equal. Each of these equal interior angles is:

105^{\circ}

Which of the following statements are true (T) and which are fales (F):

(i) Sum of the three angles of a triangle is $180^{\circ}$ .

(ii) A triangle can have two right angles .

(iii) All the angles of a triangle can be less than $60^{\circ}$ .

(iv) All the angles of a triangle can be greater than $60^{\circ}$ .

(v) All the angles of a triangle can be equal to $60^{\circ}$ .

(vi) A triangle can have two obtuse angles .

(vii) A triangle can have at most one obtuse angle.

(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

(ix) An exterior angle of a triangle is less than either of its interior opposite angles.

(x) An exerior angle of triangle is equal to the sum of the two interior opposite angles.

(xi) An exterior angle of a triangle is greater than the opposite interior angles.

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