Classification of Triangles Based on Angles

Q.

Find the sum of all the exterior angles of a triangle. [4 MARKS]

Q.

How many elements does a triangle have?

Q.

What is the least number of acute angles that a triangle can have?

Q. A right angle triangle cannot have an ___________ angle.

Q.

Question 2(b):

Write the names of seven angles
.​​

Q. Which of the following statements is correct?

1. A triangle can have two obtuse angles
2. The difference of two sides of a triangle is greater than any other side of the same triangle.
3. A triangle can have an obtuse angle and a right angle.
4. None of these

Q. Find the number of acute angles formed in the figure given below.

Q.

If the exterior angle of a triangle is 120° and one of the interior opposite angles is 70°, then the other interior opposite angle is ___.

1. 0º , Acute

2. 180º, Obtuse

3. 15º, Acute

4. 30º, Acute

Q. Name the type of triangle shown in the given figure.

1. Obtuse angled triangle
2. Scalene triangle
3. Right angled triangle
4. Equilateral triangle

Q.

Do you think it is possible to sketch a right angled equilateral triangle.

Q.

(a) What is the maximum possible number of obtuse angles in a triangle? Justify your answer.
(b) In a $△ABC$ the side BC is extended to D. Given that $\angle ABC={30}^{\circ }and\angle ACD={160}^{\circ }$. Find $\angle BAC$. [3 MARKS]

Q.

An isosceles triangle may also be a right triangle.

1. True
2. False

Q.

State whether the following statement is true or false.

180º is an example of an obtuse angle.

1. True

2. False

Q. Which one of the following defines an obtuse angled triangle?

1. Measure of one angle is equal to ${90}^{\circ }$.
2. Measure of one angle is greater than ${90}^{\circ }$.
3. Measure of two angles are greater than ${90}^{\circ }$.
4. Measure of all the angles are less than ${90}^{\circ }$.

Q.

Every equilateral triangle is an isosceles triangle

1. 74 Degrees
2. 64 Degrees

Q. A triangle whose no two sides are equal is known as

(a) an acute triangle
(b) a scalene triangle
(c) an isosceles triangle
(d) an equilateral triangle

Q. Match the following triangles with their appropriate properties.

1. all angles are equal
2. two angles are equal
3. no angle is equal
4. one angle =90 o

Q. If all the sides of a triangle are equal in length, then such a triangle is called an equilateral triangle.

1. True
2. False

Q. A triangle whose two sides are equal is known as

(a) acute triangle
(b) an isosceles triangle
(c) a scalene triangle
(d) an isosceles triangle

Q.

The measure of an obtuse angle$<90°$

1. True
2. False

Q.

State whether the following statement is true or false.

If one angle of a triangle is less than 90°, it is known as an acute-angled triangle.

1. True

2. False

Q.

State whether the following statement is true or false.

90º is an example of obtuse angle.

1. True

2. False

Q. If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:

1. an isosceles triangle
2. an obtuse triangle
3. an equilateral triangle
4. a right triangle

Q. Identify the type of triangle given below.​

1. Scalene
2. Isosceles
3. Equilateral
4. Right-Angled

Q. Two angles of a triangle are ${35}^{\circ }\text{and}{65}^{\circ }.$ What kind of triangle it is on the basis of its angles?

Q.

An isosceles triangle is also a scalene triangle.

1. 80

2. 60

Q. All three angles of a triangle always add upto .

1. ${180}^{\circ }$
2. ${90}^{\circ }$
3. ${360}^{\circ }$
4. ${270}^{\circ }$

Q. What is the type of triangle shown below?

1. Right angled scalene triangle
2. Acute angled isosceles triangle
3. 
   Acute angled scalene triangle
4. Obtuse angled scalene triangle

Q. Two angles of a triangle are ${30}^{\circ }\text{and}{60}^{\circ }.$ What kind of triangle it is based on its angles?

Q. All three angles of a triangle always add upto .

1. ${180}^{\circ }$
2. ${90}^{\circ }$
3. ${360}^{\circ }$
4. ${270}^{\circ }$