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Triangle and Sum of Its Internal Angles

Which of the ...

Question

Which of the following traingles can be used to describe a triangle with two $45 °$ interior angles?

Scalene

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Acute-angled

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Right-angled

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Obtuse-angled

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Solution

The correct option is C Right-angled
The given triangle has two $45 °$ interior angles, so sum of these two will be $90 °$ . The third angle will be $90 °$ from the angles sum property of a triangle. So, it's a right-angled triangle.

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Similar questions

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.

A . 45^{\circ}, 35^{\circ}, 90^{\circ}

B . 60^{\circ}, 60^{\circ}, 60^{\circ}

C . 70^{\circ}, 90^{\circ}, 20^{\circ}

△ A B C and △ E F D

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