WORKSHEET – CLASS VII
PARALLEL LINES AND INTERSECTING LINES
1. Two lines that meet at a point are called:
a) Parallel lines
b) Intersecting lines
c) Transversal
d) Rays
2. Lines that never meet and remain the same distance apart are:
a) Intersecting lines
b) Perpendicular lines
c) Parallel lines
d) Slanting lines
3. If two lines intersect, the vertically opposite angles formed are:
a) Unequal
b) Always equal
c) Sometimes equal
d) Supplementary
4. In the symbol “∥”, the two lines represent:
a) Intersection
b) Parallelism
c) Perpendicularity
d) Angles
5. Alternate interior angles lie:
a) Outside the parallel lines
b) Inside the parallel lines, on opposite sides of the transversal
c) On the same side of the transversal
d) Next to each other
6. If two lines intersect, the linear pairs formed are:
a) Unequal
b) Always equal
c) Sometimes equal
d) Supplementary
7. If ∠A and ∠B are corresponding angles and one measures 65°, the other will be:
a) 115°
b) 90°
c) 65°
d) Cannot be determined
8. If ∠x and ∠y are vertically opposite angles, and ∠x = 4a – 20°, ∠y = 2a + 40°, find the value of a:
a) 20
b) 30
c) 40
d) 10
9. If two lines intersect and form an angle of 35°, the adjacent linear pair angle is:
a) 145°
b) 35°
c) 70°
d) 115°
10. If ∠A and ∠B are co-interior angles, ∠A = 3x + 10°, ∠B = 2x + 20°, and the lines are parallel, the value of x is:
a) 10
b) 20
c) 35
d) 30
11. Two lines intersect, forming angles (5x – 30)° and (3x + 10)° as linear pairs. Find the value of x and the measure of each angle.
12. Find the value of x if l // m.
13. Find the value of x and y.
14. Find the value of x.
Hint: Draw a line parallel to PQ and ST passing through R.
15. Find the value of w, x, y, and z if line l // m and t and r are two transversal lines.
16. Find the value of a if line LM // PQ.
Hint: Draw two parallel lines passing through N & O which are also parallel to LM & PQ.
17. Find the value of a.
18. In the given figure, line l is parallel to line m. If ∠6 = 135°:
a) Write any 2 pairs of corresponding angles.
b) Find the value of ∠3.
c) Name the type of angles formed by ∠1 and ∠4.
d) Find the value of ∠5.
19. Two railway tracks Track 1 and Track 2 are parallel to each other. A signal arm S crosses both tracks, acting as a transversal. At the first track, the angle between the track and signal arm is (2x + 30)°. At the second track, the corresponding angle is (5x – 30)°.
a) What angle relationship applies?
b) Find x.
c) Find the measure of both angles.
20. In the figure, two parallel lines are intersected by a transversal. Find the measure of each angle.
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ANSWERS
- b) Intersecting lines
- c) Parallel lines
- b) Always equal
- b) Parallelism
- b) Inside parallel lines, on opposite sides of transversal
- d) Supplementary
- c) 65°
- b) 30
- a) 145°
- d) 30
- x = 25°, angles = 95° & 85°
- x = 30°
- x = 120°, y = 50°
- x = 80°
- w = 145°, x = 35°, y = 75°, z = 70°
- a = 108°
- a = 23°
- a) 1&5, 2&6
b) 45°
c) Linear pair
d) 45° - a) Corresponding angles
b) x = 20°
c) 70° - a = f = c = h = 140°
b = d = e = 40°
