Special Names for Pairs of Angles Made by Parallel Lines and Transversal

Q.

State true or false.

The co-exterior angles form a pair of supplementary angles.

1. False

2. True

Q.

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

1. True

2. False

Q.

In the given figure, the arms of two angles are parallel.

If ∠ABC = 70°, then find

(i) ∠DGC

(ii) ∠DEF

Q.

The sum of the co-interior angles is always ${180}^{\circ }$.

1. True

2. False

Q.

If a transversal intersects two parallel lines, then, which of the following angles are equal?

1. Pair of no two angles are equal

2. All pairs of angles are equal

3. All angles are equal

4. Pair of corresponding angles are equal

Q.

In the given diagram, $\angle$O^|OB and $\angle$OO^|P are called ________.

1. corresponding angles

2. alternate interior angles

3. interior angles on the same side of the transversal

4. alternate exterior angles

Q. What is a corresponding angle?

Q.

In the previous question, the lines $\stackrel{⟷}{XW}$ and $\stackrel{⟷}{YZ}$ are parallel.

1. True

2. False

Q.

Four pairs of corresponding angles are formed as follows:

In a linear pair of angles if both angles are equal then the measure of each angle

1. 120^o

2. 50^o

3. 90^o

4. 60^o

Q.

The lines $\stackrel{⟷}{XW}$ and $\stackrel{⟷}{YZ}$ are parallel.

1. True

2. False

Q. two parrellel line cut a transversal line one angle is (17x+4) degree and corresponding this angle is (12+15x) degree. find the value of x.

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 figure of alphabet "F", the angles "g" and "h" are ______

1. Linear pair

2. Corresponding angles

3. Alternate angles

4. Adjacent angles

Q. In the given figure, x : y = 2 : 3 and ∠ACD = 120°. Find the values of x, y and z.

Q.

Question 47

Fill in the blanks to make the statement true.

Corresponding angles are on the ___ side of the transversal.

Q.

If a transversal intersects two parallel lines, then, which of the following angles are equal?

1. Pair of corresponding angles are equal

2. Pair of alternate interior angles are equal

3. All pairs of angles are equal

4. All angles are equal

Q. Write 'T' for true and 'F' for false

(i) If two parallel lines are cut by a transversal, then the alternate interior angles are equal.
(ii) If two lines intersect each other, then the vertically opposite angles are equal.
(iii) Each acute angle of an isosceles right triangle measures 60°.
(iv) A right triangle cannot have an obtuse angle.

Q.

In the given figure, $AB||CD$ and a transversal $EF$ cuts them at $G$ and $H$ respectively.
If $GL$ and $HM$ are the bisectors of the alternate angles $\angle AGH$ and $\angle GHD$ respectively, prove that $GL||HM$.

Q.

In the figure given below, identify the exterior angles.

1. 1, 2, 7, 8

2. 1, 2, 5, 7

3. 3, 2, 5, 6

4. 3, 4, 8, 7

Q.

In the given diagram, $\angle$XOB and $\angle$YO^'P 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, $\angle B={65}^{\circ }$and$\angle C={45}^{\circ }$ in$\Delta ABC$ and $DAE\parallel BC$. If $\angle DAB=x^{\circ }$ and $\angle EAC=y^{\circ }$, find the values of $x$ and $y$.​

Q.

In the given figure, $AB\parallel DCandAD\parallel BC$.

Also, $\angle ADC=(2x+5{)}^{\circ }and\angle BCD=(3x+55{)}^{\circ }$. Find the measure of x.

Q.

In the given diagram, $\angle$O^|OB and $\angle$OO^|P are called ________.

1. corresponding angles

2. alternate interior angles

3. alternate exterior angles

4. interior angles on the same side of the transversal

Q.

If a transversal intersects two parallel lines, then which of the following angles are equal?

1. Pair of corresponding angles are equal

2. Pair of no two angles are equal

3. All pairs of angles are equal

4. All angles are equal

Q.

Match the following:

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

1. a – iv, b – ii, c – iii, d - i

2. a – iv, b – iii, c – i, d - ii

3. a – iii, b – iv, c – i, d - ii

4. a – iii, b – iv, c – ii, d - i

Q.

In the given diagram, $\angle XOB$ and $\angle O{O}^{\prime }Q$ are called

1. corresponding angles

2. alternate interior angles

3. alternate exterior angles

4. interior angles on the same side of the transversal

Q.

The lines $\stackrel{⟷}{XW}$ and $\stackrel{⟷}{YZ}$ are parallel, find the angle $\angle DCW$

1. 80°

2. 100°

3. 72°

4. None of the above

Q.

In the given diagram, $\angle$ XOB and $\angle$ YO^|P 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 two parallel lines l, m are intersected by a tranversal. Then the pair of co - interior angles are

1. $\angle 4and\angle 5$

2. $\angle 3and\angle 6$

3. $\angle 6and\angle 4$

4. $\angle 5and\angle 6$

Q.

Which of the following pair of angles formed are not equal when a transversal falls on two parallel lines?

1. Interior opposite angles (co-interior angles)

2. Alternate angles

3. Corresponding angles

4. Vertically opposite angles