Corresponding Angles Test

Q. $YZ\parallel WS$ and Y and Z are midpoints of WX and SX respectively. Also,
WY = 7 cm
XS = 18 cm
YZ = 10 cm
Find the length of side WX.

1. WX = 7 cm
2. WX = 14 cm
3. WX = 20 cm
4. WX = 15 cm

Q. In the given figure, $\angle 3$=$\angle 8$. Then-

1. Line $AB$ is parallel to line $CD$
2. Line $AB$ is not parallel to line $CD$
3. $\angle 3$ and $\angle 8$ are corresponding angles
4. $\angle 3$ and $\angle 8$ are alternate interior angles

Q.

In the figure, if $PQ\parallel RS,\angle MXQ={135}^{\circ }$ and $\angle MYR={40}^{\circ }$, find $\angle XMY$. [4 MARKS]

Q. In the figure given below, $\angle$1 = $\angle$5 = ${150}^{\circ }$. Then-

1. Line $AB$ is parallel to line $CD$ as the alternate interior angles are equal.
2. Line $AB$ is parallel to line $CD$ as the corresponding angles are equal.
3. Line $AB$ is not parallel to line $CD$
4. Line $AB$ is parallel to line $CD$ as the interior angles on same side of the transversal are equal

Q.

Match the following:

$\begin{array}{cc}a.\text{Interior angles on the same}& \\ \text{side of the transversal}& \left(i\right)1–5,2–6,3–8and4–7\\ b.\text{Alternate exterior angles}& \left(ii\right)4–6,3–5\\ c.\text{Corresponding angles}& \left(iii\right)1–7,2–8\\ d.\text{Alternate interior angles}& \left(iv\right)3–6,4-5\end{array}$

1. a – iv, b – ii, c – iii, d - i

2. a – iv, b – iii, c – i, d - ii

3. a – iii, b – iv, c – ii, d - i

4. a – iii, b – iv, c – i, d - ii

Q.

Look at the following figure and fill in the blanks :

In the figure, $l$ and $m$ are the parallel lines and $p$is a transversal.

Pairs of alternate exterior angles are :………………………..

Q. Match the given images with their respective values of unknown angle 'z'.

1. 120${}^{\circ }$
2. 60${}^{\circ }$
3. 110${}^{\circ }$

Q. If AB || CD and XY is a transversal which meets AB at M & CD at N and also ∠AMX : ∠BMX = 3 : 2, then find ∠CNY.

Q. Compute the value of x in the given figure.

Q.

In the given figure, a || b and c || d. If $\angle 1={75}^{\circ }$, what is the measure of $\angle 3$?

1. ${105}^{\circ }$

2. ${150}^{\circ }$

3. ${75}^{\circ }$

4. ${100}^{\circ }$

Q.

From the given figure :

Find the sum of x, y and z.

1. ${180}^{\circ }$

2. ${70}^{\circ }$

3. ${190}^{\circ }$

4. ${80}^{\circ }$

Q. Find the value of $x$, where AB || CD

1. ${70}^{\circ }$
2. ${45}^{\circ }$
3. ${125}^{\circ }$

Q. Given '$l$' || '$m$' then the match the angles '$x$' and '$y$' with their respective names.

1. Co-interior angles
2. Alternate angles
3. Corresponding angles

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. z, y

2. x, z

3. y, z

4. y, x

Q. If AB || CD and XY is a transversal which meets AB at M & CD at N and also $\angle AMX:\angle BMX=3:2$, then $\angle CNY=$

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