Interior Alternate Angles

Q. When two non parallel lines intersect a transversal, the alternate interior angles formed will be ______.

1. unequal
2. supplmentary
3. right angles
4. equal

Q.

Question 9 (vi)
In the adjoining figure:

What is the vertically opposite angle of $\angle 5$?

Q. Identify the pairs forming alternate interior angles?

1. $\angle 1and\angle 8$
2. $\angle 4and\angle 5$
3. $\angle 3and\angle 5$
4. $\angle 3and\angle 6$

Q.

Question 9 (v)
In the adjoining figure:

Is $\angle$1 vertically opposite to $\angle$ 4?

Q. Find the value of angles a and b in the following figure.

1. ${110}^{\circ }$, ${70}^{\circ }$
2. ${110}^{\circ }$, ${110}^{\circ }$
3. ${10}^{\circ }$, ${110}^{\circ }$
4. ${60}^{\circ }$, ${110}^{\circ }$

Q.

If two interior angles on the same sides of a transversal intersecting two parallel lines are in the ratio $2:3$ , then the smaller of the two angles is

Q.

The arms of an angle separate its …….. and………..

Q. Alternate interior angles equal.

1. True
2. False

Q.

In the given figure two parallel lines l, m are intersected by a tranversal. If $\angle 4={45}^{\circ }$ then $\angle 3$ and $\angle 6$ are

1. ${145}^{\circ },{35}^{\circ }$

2. ${25}^{\circ },{155}^{\circ }$

3. ${135}^{\circ },{45}^{\circ }$

4. ${45}^{\circ },{135}^{\circ }$

Q.

In the given figure AB||CD.
If $\angle CDE={85}^{\circ }$, then find the value of x and y respectively.

1. ${90}^{\circ },{90}^{\circ }$

2. ${105}^{\circ },{75}^{\circ }$

3. ${95}^{\circ },{85}^{\circ }$

4. ${85}^{\circ },{95}^{\circ }$

Q.

In the figure a pair of parallel lines are cut by a transversal. The value of a and b respectively are ___.

1. ${72}^{\circ },{72}^{\circ }$

2. ${72}^{\circ },{47}^{\circ }$

3. ${57}^{\circ },{62}^{\circ }$

4. ${62}^{\circ },{62}^{\circ }$

Q.

In the given figure, for what value of 'x' will AB || CD?

1. 3

2. 6

3. 12

4. 24

Q. Lines PQ and RS are parallel. It is given that $\angle RSP={52}^{\circ }$, then find $\angle SPQ$.

1. ${48}^{\circ }$
2. ${38}^{\circ }$
3. ${52}^{\circ }$
4. ${45}^{\circ }$

Q. Find the value of $\angle 1$ and $\angle 2$ in the given figure.

1. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
2. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
3. $\angle 1={65}^{\circ }$ and $\angle 2={65}^{\circ }$
4. $\angle 1={115}^{\circ }$ and $\angle 2={115}^{\circ }$

Q. An exterior angle of a triangle is ${100}^o$ and its interior opposite angles are equal to each other find the measure of each angle of the triangle.

Q.

In the given diagram, $\angle$O^|OB and $\angle$OO^|P are called ________.

1. corresponding angles

2. alternate interior angles

3. alternate exterior angles

4. interior angles on the same side of the transversal

Q. Find the value of $\angle 1$ and $\angle 2$ in the given figure.

1. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
2. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
3. $\angle 1={65}^{\circ }$ and $\angle 2={65}^{\circ }$
4. $\angle 1={115}^{\circ }$ and $\angle 2={115}^{\circ }$

Q.

Consider the following figure:

Lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{XY}$ intersect in point O.

Find the value of (y – x).

1. 140°

2. 40°

3. 100°

4. Data insufficient

Q. Fill up the blanks to make the statement true:

Q. An exterior angle of triangle is ${110}^0$. If one of the interior opposite angles is ${30}^0$, then the other two angles of the triangle are

1. ${50}^0,{100}^0$
2. ${40}^0,{110}^0$
3. ${60}^0,{90}^0$
4. ${70}^0,{80}^0$

Q.

There are two lines, AB and CD, which are parallel to each other. ∠AMN= ${20}^{\circ }$. Find the value of x .

1. ${20}^{\circ }$

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

3. ${160}^{\circ }$

4. 90${}^{\circ }$

Q. Find the value of $\angle 1$ and $\angle 2$ in the given figure.

1. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
2. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
3. $\angle 1={65}^{\circ }$ and $\angle 2={65}^{\circ }$
4. $\angle 1={115}^{\circ }$ and $\angle 2={115}^{\circ }$

Q.

Find the value of X in the given figure:

1. 0

2. 30

3. 120

4. 60