Sum of Interior Angles in a Triangle

Q.

If the angles of a triangle are in the ratio 2 : 3 : 4, determine all the angles of the triangle. [2 MARKS]

Q. Two angles of a triangle are in the ratio $(\frac{2}{3}:\frac{3}{2})$ and the third angle is ${50}^{\circ }$. The two angles are:

1. ${30}^{\circ },{95}^{\circ }$
2. ${45}^{\circ },{85}^{\circ }$
3. ${30}^{\circ },{100}^{\circ }$
4. ${40}^{\circ },{90}^{\circ }$

Q.

Question 122

The angles of a triangle are in the ratio 2 : 3 : 5. Find the angles.

Q.

Question 140

In the given figure, if y is five times x, find the value of z.

Q.

Measures of each of the angles of an equilateral triangle is ___.

Q.

Question 130

If one angle of a triangle is ${60}^{\circ }$ and the other two angles are in the ratio 1 : 2, find the angles.

Q.

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

1. ${50}^{\circ }$

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

3. ${70}^{\circ }$

4. ${60}^{\circ }$

Q. It is possible to have a triangle with the interior angle measures 40${}^{\circ }$, 30${}^{\circ }$ and 20${}^{\circ }$.

1. True
2. False

Q. If two angles in a triangle measure 70${}^{\circ }$ and 60${}^{\circ }$, then its third angle measures 50${}^{\circ }$.

1. True
2. False

Q.

The angles of a triangle are in the ratio $3:7:8$ Find the measure of each of the angles.

Q. In Fig., if $ST=SU$, then find the values of $x$ and $y$.

Q.

Find the value of X in the figure below:

1. 60

2. 70

3. 80

4. 90

Q. If two angles in a triangle measure 70${}^{\circ }$ and 60${}^{\circ }$, then its third angle measures 50${}^{\circ }$.

1. True
2. False

Q.

Sum of the interior angles of a triangle is ___.

1. 90

2. 180

3. 360

4. 135

Q. One of the angles of a triangle is ${74}^{\circ }$ and the other two angles are equal, then the measure of each of the equal angles is:

1. ${100}^{\circ }$
2. ${58}^{\circ }$
3. ${53}^{\circ }$
4. ${116}^{\circ }$

Q.

Find the value of X in the figure below:

1. 80

2. 70

3. 60

4. 100

Q. It is possible to have a triangle with the interior angle measures 40${}^{\circ }$, 30${}^{\circ }$ and 20${}^{\circ }$.

1. True
2. False

Q. Two angles of a triangle are in the ratio $\frac{2}{3}:\frac{3}{2}$ and the third angle is ${50}^{\circ }$. The two angles are:

1. ${30}^{\circ },{95}^{\circ }$
2. ${45}^{\circ },{85}^{\circ }$
3. ${30}^{\circ },{100}^{\circ }$
4. ${40}^{\circ },{90}^{\circ }$

Q. Two angles of a triangle are in the ratio $(\frac{2}{3}:\frac{3}{2})$ and the third angle is ${50}^{\circ }$. The two angles are: