Corresponding Angle Theorem and Its Converse

Q.

In the given diagram, $\angle$XOB and $\angle$OO'Q are called ________.

1. corresponding angles

2. alternate interior angles

3. alternate exterior angles

4. interior angles on the same side of the transversal

Q.

In the given figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of $\angle$EDP and $\angle$EDB are n and m respectively. Then, the values of n and m are ______ and _______ respectively.

1. y, x

2. z, y

3. x, z

4. y, z

Q.

In the figure given below, l and m are two parallel lines. Which of the following statement is true?

1. $\angle$7 + $\angle$8 + $\angle$5= 180${}^{\circ }$
2. $\angle$1 + $\angle$2 + $\angle$4 = 180${}^{\circ }$
3. $\angle$3 + $\angle$5 + $\angle$6 = 180${}^{\circ }$
4. $\angle$1 + $\angle$8 = 180${}^{\circ }$

Q.

Find x, y and z in the figure given below.

1. $x={70}^{\circ },y={110}^{\circ },z={70}^{\circ }$

2. $x={110}^{\circ },y={110}^{\circ },z={70}^{\circ }$

3. $x={110}^{\circ },y={110}^{\circ },z={90}^{\circ }$

4. $x={110}^{\circ },y={110}^{\circ },z={110}^{\circ }$

Q. In the figure, AB || CD and $\angle 1:\angle 2=3:2$. The measure of $\angle 6$ is

1. ${72}^{\circ }$
2. ${144}^{\circ }$
3. ${36}^{\circ }$
4. ${108}^{\circ }$

Q. If AB || CD and XY is transversal which meets AB at M and CD at N also $\angle AMX={62}^{\circ }$, then $\angle DNY=$.

1. ${62}^{\circ }$
2. 118${}^{\circ }$
3. 122${}^{\circ }$

Q.

The following diagram shows parallel lines cut by a transversal. Find x.

1. 60${}^{\circ }$
2. 50${}^{\circ }$
3. 40${}^{\circ }$
4. 90${}^{\circ }$