Corresponding Angle Theorem

Q. If line $a$ is parallel to $b$, line $p$ is parallel to line $DF$ and line $q$ is perpendicular to both parallel lines $a\&b$.
What is the value of $x$ in the figure given below ?

1. ${40}^o$
2. ${80}^o$
3. ${50}^o$
4. ${45}^o$

Q. Line $m$ is parallel to line $n$ and the third line $l$ is the transverse line as given in the figure below

Here, angle $x\&y$ areangles.

Q. The angles that occupy the same relative position at each intersection of a transveral with two parallel lines are corresponding angles.

1. True
2. False

Q. In the given figure, lines $l$ and $m$ are cut by two transversals $n$ and $p$. Check whether line $l$ is parallel to line $m$ or not.

Q. Calculate the value of $x$ in the given figure if $p$ is parallel to $q$.

1. ${98}^o$
2. ${262}^o$
3. ${88}^o$
4. ${108}^o$

Q. When two parallel lines are cut by a transversal, their resulting corresponding angles have the same measure.

1. True
2. False

Q.
If $CD$ and $PQ$ are parallel to each other, then $\angle 1=$

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

Q. Line $m$ is parallel to line $n$ and line $p$ is parallel to line $q$ then the value of $x+y$ is

1. ${180}^o$
2. ${130}^o$
3. ${230}^o$
4. None of the above

Q. For the given figure, $\angle JBH={120}^o$ and the vertical lines are parallel.
Find the angle $\angle HAK.$

1. ${90}^o$
2. ${60}^o$
3. ${180}^o-{120}^o$
4. ${30}^o$

Q. Given that line $AB$ and $CD$ are parallel, then $\angle DNE$ is:

1. ${100}^{\circ }$
2. ${105}^{\circ }$
3. ${110}^{\circ }$
4. None of the above

Q. For the diagram below, if $CD,PQ,RS$ are parallel to one one another, $\angle 1=\angle 5=\angle 9$.

1. True
2. False

Q.

When two parallel lines are intersected by a transversal each pair of corresponding angles are ________.