Angle Sum Property of a Triangle

Q.

If the angles of a triangle are in the ratio 2:3:5, then find the smallest angle.

1. ${26}^{\circ }$

2. ${46}^{\circ }$

3. ${40}^{\circ }$

4. ${36}^{\circ }$

Q. In the given figure, the value of 'z' is _______.

1. ${120}^{\circ }$
2. ${85}^{\circ }$
3. ${140}^{\circ }$
4. ${80}^{\circ }$

Q.

In the given figure, the value of 'x' and 'y' is:

1. $X={45}^{\circ },Y={75}^{\circ }$
2. $X={30}^{\circ },Y={55}^{\circ }$
3. $X={45}^{\circ },Y={30}^{\circ }$
4. $X={60}^{\circ },Y={75}^{\circ }$

Q.

A triangle with all the three angles less than 60 degree is possible.

1. True

2. False

Q. Two angles of a triangle are ${65}^{\circ }$ and ${45}^{\circ }$ then the third angle is:

1. ${80}^{\circ }$
2. ${70}^{\circ }$
3. ${75}^{\circ }$
4. ${60}^{\circ }$

Q.

Consider a right angled triangle ABC, right angled at B. Length of AC = 5 cm. $\angle$A = ${37}^{\circ }$​. The sides of triangles are integers. Then, find the sum of the magnitudes of AB, BC and $\angle$C.

Magnitude is defined as the absolute value. Example: If $\angle$A is 60 degree then, its magnitude is 60; and if length AB = 45 cm, then magnitude of AB = 45.

___

Q.

A triangle with two right angles is possible.

1. True

2. False

Q.

Two angles of a triangle are ${50}^{\circ }$​ and ${70}^{\circ }$​. The third angle is:

1. 50^o

2. 70^o

3. 60^o

4. 120^o

Q.

A triangle can have all the three angles greater than ${60}^{\circ }$.

1. True

2. False

Q.

A triangle with two obtuse angles is possible.

1. False

2. True