Alternate Angles Theorem

Q.

Find the value of unknown from the following figures:

Q. In the given figure, AB || CD. Find the measure of y in degrees.

1. 90

Q. In the given figure, AB || CD. Find the measure of y in degrees.

1. 90

Q.

In the given figure, AB || CD. Find the measure of x, y and z.

1. $x={90}^{\circ }$, $y={40}^{\circ }$ and $z={50}^{\circ }$

2. $x={40}^{\circ }$, $y={50}^{\circ }$ and $z={90}^{\circ }$

3. $x={40}^{\circ }$, $y={90}^{\circ }$ and $z={50}^{\circ }$

4. $x={50}^{\circ }$, $y={90}^{\circ }$ and $z={40}^{\circ }$

Q. If two parallel lines are cut by a transversal then the corresponding angles formed are equal in measure.

1. True
2. False

Q. If two lines intersect each other, then the vertically opposite angles _______ .

1. are complementary
2. are supplementary
3. form a linear pair
4. are equal

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

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

Q.

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

1. ${29}^{\circ }$

2. ${87}^{\circ }$

3. ${63}^{\circ }$

4. ${19}^{\circ }$

Q. In the figure, AC || DF.
$\angle CBO={40}^{\circ }\text{and}\angle FEO={30}^{\circ }$
What is the value of the reflex angle $\angle BOE$?

1. ${290}^{\circ }$
2. ${70}^{\circ }$
3. ${105}^{\circ }$
4. ${45}^{\circ }$

Q.

In the given figure, AB || CD then the value of x is
​

1. ${235}^{\circ }$

2. ${220}^{\circ }$

3. ${285}^{\circ }$

4. ${75}^{\circ }$

Q. In the given figure, AB || CD. Find the measure of y in degrees.

1. 90

Q. In the given figure, if $AB||CD,\angle APQ={50}^{\circ }and\angle PRD={127}^{\circ }$, the value of y is

1. ${77}^{\circ }$
2. ${127}^{\circ }$
3. ${130}^{\circ }$
4. ${50}^{\circ }$

Q. If AB || CD and transversal XY meets AB at M and CD at N, then $\angle XMB$ and $\angle CNY$ are angles.

1. corresponding
2. alternate interior
3. alternate exterior