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Construction of Triangles

Which of the ...

Question

Which of the following statements are true $(T)$ and which are false $(F)$

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

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Solution

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

By exterior angle property.

Hence the statement is True.

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An exterior angle of a triangle is equal to $100^{\circ}$ and two interior opposite angles are equal. Each of these angles is equal to:

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.

(T)

(F)

xi)

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 are

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