Transversal of Parallel Lines

Q. In the given figure, AB||CD. The value of x is

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1. 
2. 
3. 
4. 

Q.

What theorem proves lines are parallel?

Q. Question 5
In the given figure, if $PQ\perp PS,PQ||SR,\angle SQR={28}^{\circ }$ and $\angle QRT={65}^{\circ }$, then find the values of x and y.

Q.

Question 6 (i)
In the given figures below, decide whether l is parallel to m.

Q.

Two acute angles can be supplementary. Say True/False.

1. True

2. False

Q.

Question 53

Fill in the blanks to make the statement true.

The supplement of an obtuse angle is always ___ angle.

Q. Give some examples of vertical opposite angles form your surroundings

Q. What is the sum of linear pair angles

Q.

Question 88

A road crosses a railway line at an angle of ${30}^{\circ }$ as shown in the figure. Find the values of a, b and c.

Q.

Question 90

Iron rods a, b, c, d, e and f are making a design in a bridge as shown in the given figure, in which a || b, c|| d and e || f. Find the marked angles between
(i) b and c
(ii) d and e
(iii) d and f
(iv) c and f

Q.

If a transversal cuts two parallel lines, then which of the following statements is correct?

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.

Question 112

In the given figure, two parallel lines l and m are cut by two transversal p and q. Determine the values of x and y .

Q.

In the given figure, $AB||CD.$ Find the reflex $\angle EFG.$

Q.

Question 103

In the given figure, $QP||RS.$ Find the values of a and b.

Q.

Question 107

In the given figure, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y.

Q. Observe the figure given.

Compute the sume of x, y and z.

1. ${180}^{\circ }$
2. ${70}^{\circ }$
3. ${80}^{\circ }$
4. ${190}^{\circ }$

Q.

Question 2 (i)
In the adjoining figure, identify:

The pairs of corresponding angles.

Q.

Question 105(i)

In the given figure, PQ, RS and UT are parallel lines.

If $c={57}^{\circ }anda=\frac{c}{3}$, find the value of d.

Q.

Question 96

If a transversal intersects two parallel lines and the difference of two interior angles on the same side fo a transversal is ${20}^{\circ }$ , find the angles.

Q.

If line l is parallel to line m and line t is a transversal, find corresponding angles.

1. ∠1 and ∠2

2. ∠2 and ∠7

3. ∠2 and ∠3

4. ∠1 and ∠5

Q.

Question 75

In the given figure PQ|| RS, TR|| QU and $\angle PTR={42}^{\circ }$. Find $\angle QUR.$

Q.

Find the angle x in the given figure, if AB || CD.

1. ${75}^{\circ }$

2. ${160}^{\circ }$

3. ${55}^{\circ }$

4. ${145}^{\circ }$

Q.

Question 19

In the given figure, PQ|| SR and SP|| RQ. Then, angles a and b are respectively

(a) ${20}^{\circ },{50}^{\circ }$
(b) ${50}^{\circ },{20}^{\circ }$
(c) ${30}^{\circ },{50}^{\circ }$
(d) ${45}^{\circ },{35}^{\circ }$

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.

In a $△$ABC, the sides AB and AC have been produced to D and E. Bisectors of $\angle$CBD and $\angle$BCE meet at O. If $\angle$A = ${64}^{\circ }$, then $\angle$BOC is:

1. 26°

2. 52°

3. 58°

4. 112°

Q. In the given figure, what is the measure of q?

1. ${48}^{\circ }$
2. ${90}^{\circ }$
3. ${42}^{\circ }$
4. ${110}^{\circ }$

Q.

Question 99

In the given figure $AE||GF||BD,AB||CG||DF$ and $\angle CHE={120}^{\circ }$, Find $\angle ABC$and $\angle CDE.$

Q.

The angles of a heptagon are$(\mathrm{x}+3)°,(2\mathrm{x}+5)°,(\mathrm{x}+8)°,(3\mathrm{x}+1)°,(5\mathrm{x}-6)°,(2\mathrm{x}+9)°\mathrm{and}(\mathrm{x}-5)°$. Calculate $\mathrm{x}$.

Q. If two lines p and q are intersected by a transversal line, and the corresponding angles formed are equal, then:

1. p = q
2. p > q
3. $p\ne q$
4. p || q

Q.

Question 100

In the given figure find the value of $\angle BOC$, if points A, O and B collinear.