Corresponding Angles Theorem

Q.

If a transversal intersects two parallel lines, then each pair of corresponding angles is ………

1. Different

2. Perpendicular

3. Parallel

4. Equal

Q. Prove A union B = B union A A intersection B intersection C = B intersection A intersection C De Morgan law 1 and 2

Q.

If two parallel lines are intersected by a transversal, then each pair of corresponding angles are_______.

Q.

Line a makes an angle of 30 degrees with the line b, also line c makes an angle of 30 degrees with line b. Then, ______ .

1. line a || line b

2. line a ⊥ line c

3. line a ⊥ line b

4. line a || line c

Q. Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =

(a) 63°

(b) 117°

(c) 17°

(d) 153°

Q.

If two lines are intersected by a transversal, then each pair of corresponding angles so formed is :

1. Equal

2. Complementary

3. Supplementary

4. Can not be predicted

Q.

In figure, if AB ∥ CD, CD ∥ EF and y : z = 3 : 7, Find x.

1. ${116}^{\circ }$

2. ${96}^{\circ }$

3. ${126}^{\circ }$

4. ${112}^{\circ }$

Q. Co-interior angles are supplementary

1. False
2. True

Q.

In the adjoining figure AB || CD, ∠1 : ∠2 = 3 : 2. Then ∠6 is _____

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

2. 100${}^{\circ }$

3. 144${}^{\circ }$

4. 36${}^{\circ }$

Q. In the adjoining figure AB || CD, ∠1 : ∠2 = 3 : 2. Then ∠6 is ______.

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 an angle measures ${70}^{\circ }$, then its corresponding angle will measure

1. 70${}^{\circ }$
2. 110${}^{\circ }$
3. 180${}^{\circ }$

Q. If one of the corresponding angles measures 120 degrees then the other angle is equal to ____ degrees.

1. 30
2. 60
3. 120
4. 150

Q.

If two lines are intersected by a transversal, then corresponding angles are equal.

1. True

2. False

Q.

In the given figure AB || CD. If $\angle EGD={140}^{\circ }$ and $\angle GHB=4x^{\circ }$, then find the value of x.

1. ${30}^{\circ }$

2. ${35}^{\circ }$

3. ${40}^{\circ }$

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

Q. AB || CD and tranversal XY meets AB and CD at M & N respectively. If $\angle AMX={50}^{\circ }$, then

1. ${50}^{\circ }$
2. ${130}^{\circ }$
3. ${40}^{\circ }$
4. ${310}^{\circ }$

Q.

If two lines are intersected by a transversal, then each pair of corresponding angles so formed is :

1. Equal

2. Supplementary

3. Complementary

4. Can not be predicted

Q. Line AB || CD and transversal XY meets AB at M and CD at N. If $\angle AMX=x\text{and}\angle CNX=2x-60$, then $x=$ .

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