Types of Triangles Based on Angles

Q.

The two interior opposite angles of an exterior angle of a triangle are ${60}^{\circ }$ and ${80}^{\circ }$. Find the measure of the exterior angle.

Q. Prove that the sum of all exterior angles of a triangle is 360 degree

Q.

What is the difference between medians and altitudes?

Q.

A triangle can have two acute angles.

1. True

2. False

Q. The triangle in which all the three angles are equal is called an ___ .

Q.

One of the exterior angles of a triangle is ${80}^{\circ }$ and the interior opposite angles are in the ratio of $3:5$. Find the angles of the triangle.

Q.

Which of the following can be the angles of a triangle?

1. 50^o

2. 60^o

3. 120^o

4. 70^o

Q. In an equilateral triangle, all the sides are equal in length.

1. True
2. False

Q.

In a triangle XYZ, XY² + YZ² = ZX², which of the following angle is of 90 degrees?

1. ∠Y

2. ∠Z

3. Cannot be determined

4. ∠X

Q. State whether the statement is True or False:
In an equilateral triangle, all the three sides and three angles are equal.

1. True
2. False

Q.

Each angle of an equilateral triangle is ${60}^{\circ }$. True or False

1. True

2. False

Q.

The measure of angle x, in the given figure is:

1. 35^o

2. 30^o

3. 45^o

4. 60^o

Q.

The exterior angle of a triangle is equal to the sum of all the interior angles of the triangle. State whether true or false.

1. True

2. False

Q.

Write a statement of Pythagoras theorem and show that the $6,8,10$ are Pythagorean triplets.

Q. Question 2
Can a triangle have all angles less than ${60}^{\circ }$? Give the reason for your answer.

Q.

The exterior angle of a triangle is 80⁰. If one of the interior opposite angles is 35⁰, the measure of the other two angles is

1. 100⁰; 45⁰

2. 40⁰; 60⁰

3. 50⁰; 50⁰

4. 80⁰; 20⁰

Q.

Question 15

If two angles of a triangle are ${60}^{\circ }$ each, then the triangle is

a) Isosceles but not equilateral
b) Scalene
c) Equilateral
d) Right angled

Q.

In $△$ABC, ∠ABC = 90${}^{\circ }$ ∠BAC = 45${}^{\circ }$ ∠ACB = 45${}^{\circ }$. What is this triangle called?

1. Right angled triangle

2. 90^o triangle

3. Right angled Isosceles triangle

4. Isosceles triangle

Q.

Which of the following are true?

1. Only (ii)

2. Only (i)

3. Only (iii)

4. All. (i), (ii) and (iii)

Q.

In triangle DEF, an exterior angle at F is represented as 8x + 15. If the two non-adjacent interior angles are represented as 4x + 5 and 3x + 20, find the value of x.

1. 40

2. 20

3. 10

4. 50

Q.
What kind of a triangle is this?

1. Obtuse angle triangle
2. Acute angle triangle
3. Scalene triangle
4. Right angled triangle

Q. A triangle whose two angles measure ${25}^0$ and ${35}^0$ is a/an _________ triangle.

1. acute angled
2. obtuse angled
3. right angled
4. equilateral

Q.

In the following right angled triangle, AB = BC, CD = BD. Find the measure of angle CDB.

1. 30^o

2. 60^o

3. 90^o

4. 40^o

Q. Which of the following is complement of angle (90° - a)?

1. a
2. 180° + a
3. 180° - a
4. 90° + a

Q. Two angles of a triangle are of measures 105° and 30°. Find the measure of the third angle.

Q.

Classify the following statement as true or false.

The measure of each angle of an isosceles triangle is always $60°$

1. True
2. False

Q. How many triangles can be drawn having its angles as ${45}^0,{64}^0$ and ${72}^0?$

1. $1$
2. More than 2
3. $2$
4. None

Q. The 6 elements of a triangle are'a' sides and'b'angles. Find the value of a×b./

Q.

If one angle of a triangle is equal to the sum of the other two, show that the triangle is right angled.

Q.

does the angle sum property of triangles apply on every side of the triangle ?