Triangle and sum of its internal angles

Q.

Sum of the interior angles of a triangle is ___.

1. 90

2. 180

3. 360

4. 135

Q.

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

${90}^{°},{50}^{°},$and ${60}^{°}$

Q.

In the given figure, $\angle$A= 130 degrees and $\angle$B= 40 degrees. If $△$ABC is congruent to $△$DEF, then find $\angle$F.

1. 

2. 

3. 

4. 

Q.

Find the measure of $\angle B$.

1. 55°

2. 65°

3. 75°

4. 85°

Q.

State which of the following statements are true and which are false :

A triangle can have two right angles

1. True
2. False

Q.

In the adjoining figure, the value of $\angle A+\angle B+\angle C+\angle D+\angle E+\angle F$ in degrees is

___

Q.

In the figure below, ${123}^{\circ }$ = x- (x+3).

1. True
2. False

Q.

The property which states that the sum of all the interior angles of a triangle is 180${}^{\circ }$ is known as __.

Q.

Find the value of X in the figure below:

1. 70

2. 80

3. 90

4. 60

Q.

In the figure given below, if lines PQ and RS intersect at point T, such that,
$\angle PRT={40}^{\circ }$, $\angle RPT={95}^{\circ }$ and $\angle TSQ={75}^{\circ }$, then find $2\angle SQT$.

1. None of the above

2. ${120}^{\circ }$

3. ${150}^{\circ }$

4. ${80}^{\circ }$

5. ${90}^{\circ }$

Q.

Sum of interior angles of a triangle is ___.

1. 180${}^{\circ }$

2. 90${}^{\circ }$

3. 360${}^{\circ }$

4. 135${}^{\circ }$

Q. In fig. $\angle ABP=\angle ACQ,\angle BAC={68}^{\circ }$. Measure of $\angle ABC$ is:

1. ${124}^{\circ }$
2. ${56}^{\circ }$
3. ${52}^{\circ }$
4. ${60}^{\circ }$

Q.

Sum of the interior angles of a triangle is ___.

1. 90

2. 180

3. 360

4. 135

Q. In $\Delta PQR$, the angle bisectors of $\angle PQR$ and $\angle PRQ$ meet at O.

If $\angle QPR={80}^{\circ }$, find the measure of $\angle QOR$

1. ${80}^{\circ }$
2. ${130}^{\circ }$
3. ${100}^{\circ }$
4. ${90}^{\circ }$

Q.

Classify the following statements as true or false:

A triangles can have two right angles.

1. True
2. False

Q.

Find the value of X in the given figure:

1. 120

2. 30

3. 60

4. 0

Q.

Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is

1. 40^o

2. 30^o

3. 60^o

4. 80^o

Q.

If one angle of a triangle is equal to the sum of the other two angles which are equal, then the triangle is a/an _________ .

1. Right angled triangle

2. Acute angled triangle

3. Obtuse angled triangle

4. Equilateral triangle

Q.

Find the value of X in the figure below:

1. 80

2. 60

3. 100

4. 70

Q.

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

1. An isosceles triangle

2. An obtuse triangle

Q. How many triangles can be drawn having its angles as ${53}^{\circ },{64}^{\circ }$ and ${63}^{\circ }$ ?

1. Unique triangle
2. Two triangles
3. Infinitely many triangles
4. None of these

Q.

The sum of the two angles in a triangle is ${95}^{\circ }$ and their difference is ${25}^{\circ }$. Then which of the following are true?

1. 75°, 50°, 55°

2. 85°, 65°, 30°

3. 50°, 45°, 85°

4. 60°, 35°, 85°