Exterior Angle

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

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

Q.

Triangle is a polygon whose sum of exterior angles is double the sum of interior angles. State whether the statement is true or false.

1. True
2. False

Q.

In the given figure, if AB || CD, then p + q + r + s + t = ___

1. 1 right angle

2. 4 right angle

3. 2 right angle

4. 3 right angle

Q.

In the given figure,
$\angle CAE={84}^{\circ }$.
If $\angle B:\angle C=3:4,$ then $\angle B$ = ____ and $\angle C$ = ____.

1. $\angle B={12}^{\circ },\angle C={72}^{\circ }$
2. $\angle B={36}^{\circ },\angle C={48}^{\circ }$
3. $\angle B={75}^{\circ },\angle C={90}^{\circ }$
4. $\angle B={33}^{\circ },\angle C={44}^{\circ }$

Q.

In an isosceles triangle, one of the equal angles measures ${50}^{\circ }$. The sum of all the exterior angles of the same triangle is ___ (in degrees)​.

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

Q.

In the given figure, $\angle x=$

1. $\angle a+\angle c$

2. $\angle b+\angle c$

3. $\angle a+\angle b$

4. $\angle a+\angle b+\angle c$

Q. If the opposite interior angles of an exterior angle of measure $123°$ is $x$ and $x+3$, then $x$=

1. 40°
2. 60°
3. 80°

Q.

Find x.

1. 44${}^{\circ }$

2. 55${}^{\circ }$

3. 66${}^{\circ }$

4. 77${}^{\circ }$

Q. If we know the value of $\angle$A and $\angle$C, then we can find the value of $\angle$ABD.

1. False
2. True

Q. An exterior angle of a triangle is equal to any one opposite interior angle.

1. False
2. True

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

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

Q. In a triangle, the exterior angle is greater than each of the interior opposite angles.

1. False
2. True