Questions · Page 2 of 2

2 Marks Questions

Question 512 Marks
If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.
Answer
self
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Question 522 Marks
If one angle of a triangle is equal to the sum of the other two, show that the triangle is a right triangle.
Answer
self
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Question 532 Marks
If the angles of a triangle are in the ratio 1: 2: 3, determine three angles.
Answer
$30^{\circ}, 60^{\circ}, 90^{\circ}$
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Question 542 Marks
The three angles of a triangle are equal to one another. What is the measure of each of the angles?
Answer
$60^{\circ}$
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Question 552 Marks
In $\triangle A B C, \angle A=60^{\circ}, \angle B=80^{\circ}$ and the bisectors of $\angle B$ and $\angle C$ meet at $O$. Find (i) $\angle C$ (ii) $\angle B O C$.
Answer
(i) $40^{\circ}$ (ii) $120^{\circ}$
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Question 562 Marks
One of the angles of a triangle is $130^{\circ}$, and the other two angles are equal. What is the measure of each of these equal angles?
Answer
$25^{\circ}, 25^{\circ}$
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Question 592 Marks
In each of the following, the measures of three angles are given. State in which cases, the angles can possibly be those of a triangle:
(i) $63^{\circ}, 37^{\circ}, 80^{\circ}$
(ii) $45^{\circ}, 61^{\circ}, 73^{\circ}$
(iii) $59^{\circ}, 72^{\circ}, 61^{\circ}$
(iv) $45^{\circ}, 45^{\circ}, 90^{\circ}$
(v) $30^{\circ}, 20^{\circ}, 125^{\circ}$
Answer
(i), (iv)
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Question 602 Marks
Two angles of a triangle are of measures $105^{\circ}$ and $30^{\circ}$. Find the measure of the third angle.
Answer
$45^{\circ}$
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Question 712 Marks
Take three collinear points A, B and C on a page of your note book. Join AB, BC and CA. Is the figure a triangle? If not, why?
Answer
No, by definition of triangle
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