Exterior Angle of a Triangle and Its Property

Q. An exterior angle of a triangle is equal to:

1. ${180}^{\circ }$
2. ${360}^{\circ }$
3. sum of its opposite interior angles
4. sum of all angles of triangle

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

1. $x={125}^{\circ },y={65}^{\circ }$
2. $x={75}^{\circ },y={45}^{\circ }$
3. $x={45}^{\circ },y={65}^{\circ }$
4. $x={125}^{\circ },y={35}^{\circ }$

Q.

Consider the figure:

If $\angle$A = ${50}^{\circ }$​, $\angle$B = ${70}^{\circ }$​, and x = 2y, then, the value of x (in degrees) is___.

Q.

Consider the figure:

Find the value of x + y + $\angle$ACB.

___

Q.

Consider the figure:

If $\angle$A = ${50}^{\circ }$​, $\angle$B = ${70}^{\circ }$​, and x = 2y, then find the value of y (in degrees).

___

Q.

Consider the figure:

If $\angle$A = ${70}^{\circ }$​, $\angle$ACD = ${120}^{\circ }$​, then the value of $\angle$B (in degrees) is
___

Q.

Consider the figure:

If $\angle$A = ${50}^{\circ }$​, $\angle$B = ${70}^{\circ }$​ and x = 2y, then x+y is equal to (in degrees)

__

Q.

The value of the exterior angle of a triangle is equal to the sum of __

1. the other two exterior angles of a triangle

2. all the interior angles of a triangle

3. the value of external angles of a triangles cannot be found

4. the two interior opposite angles

Q.

In the figure, sides QP and RQ of $\Delta$PQR are produced to points S and T, respectively. If $\angle$SPR = ${135}^{\circ }$ and $\angle$PQT = ${110}^{\circ }$, find 2$\angle$PRQ.

1. ${150}^{\circ }$

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

3. ${110}^{\circ }$

4. ${130}^{\circ }$

Q.

Consider the figure:

If $\angle$B = ${50}^{\circ }$, $\angle$ACD = ${120}^{\circ }$, then the value of $\angle$A (in degrees) is .