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Triangles

Can the given...

Question

Can the given angles be the angles of a triangle?
$100 °, 110 °, 150 °$

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Solution

According to the angle sum property of triangle, the sum of all the angles of a triangle is always equal to $180 ° .$
Now, $100 ° + 110 ° + 150 ° = 360 °$
Since, the sum of angles is not eqaul to $180 °$ , therefore triangle is not possible with above angles.

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Similar questions

Q. State 'True' or 'False':
(i) A triangle can have two right angles.
(ii) A triangle cannot have two obtuse angles.
(iii) A triangle cannot have two acute angles.
(iv) A triangle can have each angle less than 60°.
(v) A triangle can have each angle equal to 60°.
(vi) There cannot be a triangle whose angles measure 10°, 80° and 100°.

Q. ∠A is an obtuse angle. The measure of ∠A and twice its supplementary differ by 30°. Then ∠A can be
(a) 150°
(b) 110°
(c) 140°
(d) 120°

Q. All angles of a triangle can be __________ angles.

Mark (✓) against the correct answer
The sum of all angles of a triangle is

(a) 90°
(b) 100°
(c) 150°
(d) 180°

Q. Which of the following statements are true (T) and which are false (F):

(i) Sum of the three angles of a triangle is 180°.

(ii) A triangle can have two right angles.

(iii) All the angles of a triangle can be less than 60°

(iv) All the angles of a triangle can be greater than 60°.

(v) All the angles of a triangle can be equal to 60°.

(vi) A triangle can have two obtuse angles.

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

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

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

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

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

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