CBSE Class 9 > Class 9 Notes > Mathematics (Maths) > Visual Worksheet: Vertical Angles
Visual Worksheet: Vertical Angles
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Page 1
SECTION-A
1. In the given figure, AB ? CD. Find the value of x.
2. In the given figure , find the value of x if AB ? CD.
3. An angle is 30° more than one-half of its compliment. Find the angle in degrees.
4. Ray OP bisects ? AOB and OQ is the ray opposite to OP. Show that
? QOB= ? QOA.
5. In the given figure, If AB is parallel to CD , ?2= 120° + x and ?6 = 6x. Find the
measure of ?2 and ?6.
SECTION-B
6. In the give figure, prove that p ? m.
Page 2
SECTION-A
1. In the given figure, AB ? CD. Find the value of x.
2. In the given figure , find the value of x if AB ? CD.
3. An angle is 30° more than one-half of its compliment. Find the angle in degrees.
4. Ray OP bisects ? AOB and OQ is the ray opposite to OP. Show that
? QOB= ? QOA.
5. In the given figure, If AB is parallel to CD , ?2= 120° + x and ?6 = 6x. Find the
measure of ?2 and ?6.
SECTION-B
6. In the give figure, prove that p ? m.
7. In the given figure ray OS stands on a line POQ. Ray OR and ray OT are angle
bisector of ?POS and ?SOQ, respectively. If ?POS = x , find ?ROT.
8. In the given figure, AB is parallel to DE. Prove that ?ABC+?BCD=180°+?CDE.
9. In the given figure, l is parallel to m , find the value of x.
10. In the given figure, ? 1 =55°,?2=20°,?3= 35° and ? 4 = 145°. Prove that
AB¦CD.
SECTION-C
11. In the given figure , n ? m and p ? q . ?1 = 75°, prove that ?2 = ?1 +
1
3
of
a right angle.
Page 3
SECTION-A
1. In the given figure, AB ? CD. Find the value of x.
2. In the given figure , find the value of x if AB ? CD.
3. An angle is 30° more than one-half of its compliment. Find the angle in degrees.
4. Ray OP bisects ? AOB and OQ is the ray opposite to OP. Show that
? QOB= ? QOA.
5. In the given figure, If AB is parallel to CD , ?2= 120° + x and ?6 = 6x. Find the
measure of ?2 and ?6.
SECTION-B
6. In the give figure, prove that p ? m.
7. In the given figure ray OS stands on a line POQ. Ray OR and ray OT are angle
bisector of ?POS and ?SOQ, respectively. If ?POS = x , find ?ROT.
8. In the given figure, AB is parallel to DE. Prove that ?ABC+?BCD=180°+?CDE.
9. In the given figure, l is parallel to m , find the value of x.
10. In the given figure, ? 1 =55°,?2=20°,?3= 35° and ? 4 = 145°. Prove that
AB¦CD.
SECTION-C
11. In the given figure , n ? m and p ? q . ?1 = 75°, prove that ?2 = ?1 +
1
3
of
a right angle.
12. In the given figure , AB ? CD ? EF. Find the value of ( y + x ) : ( y – x)
13. In the given figure , the sides AB and AC of ? ABC are produced to points E
and D respectively. If bisectors BO and CO of ?CBE and ?BCD respectively meet at
point O, then prove that ?BOC = 90° -
1
2
?BAC
14. In the given AB?CD and PQ is a transversal . Find the value of x and y.
15. In the following figure, QP ? ML and the other angles are shown. Find the
value of x.
Page 4
SECTION-A
1. In the given figure, AB ? CD. Find the value of x.
2. In the given figure , find the value of x if AB ? CD.
3. An angle is 30° more than one-half of its compliment. Find the angle in degrees.
4. Ray OP bisects ? AOB and OQ is the ray opposite to OP. Show that
? QOB= ? QOA.
5. In the given figure, If AB is parallel to CD , ?2= 120° + x and ?6 = 6x. Find the
measure of ?2 and ?6.
SECTION-B
6. In the give figure, prove that p ? m.
7. In the given figure ray OS stands on a line POQ. Ray OR and ray OT are angle
bisector of ?POS and ?SOQ, respectively. If ?POS = x , find ?ROT.
8. In the given figure, AB is parallel to DE. Prove that ?ABC+?BCD=180°+?CDE.
9. In the given figure, l is parallel to m , find the value of x.
10. In the given figure, ? 1 =55°,?2=20°,?3= 35° and ? 4 = 145°. Prove that
AB¦CD.
SECTION-C
11. In the given figure , n ? m and p ? q . ?1 = 75°, prove that ?2 = ?1 +
1
3
of
a right angle.
12. In the given figure , AB ? CD ? EF. Find the value of ( y + x ) : ( y – x)
13. In the given figure , the sides AB and AC of ? ABC are produced to points E
and D respectively. If bisectors BO and CO of ?CBE and ?BCD respectively meet at
point O, then prove that ?BOC = 90° -
1
2
?BAC
14. In the given AB?CD and PQ is a transversal . Find the value of x and y.
15. In the following figure, QP ? ML and the other angles are shown. Find the
value of x.
SECTION-D
16. If a transversal intersect two lines such that bisectors of a pair of corresponding
angles are parallel, then prove that the two lines are parallel.
17. In the given figure AB¦DC. Find the values of x,y and z.
18. In ?ABC, the bisector of ?B and ?C meets at O. Prove that ?BOC=90°+
????? 2
19. Find the value of x,y and z in the adjoining figure.
20. In the given figure, EF¦DQ and AB¦CD. If ?FEB=64°, ? PDC = 27°, then find
?PDQ,?AED and ?DEF.
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Read MoreFAQs on Visual Worksheet: Vertical Angles
| 1. What are vertical angles? |  |
Ans. Vertical angles are the angles that are opposite each other when two lines intersect. They are formed by the intersection of two lines and are always equal to each other.
| 2. How can I identify vertical angles in a diagram? | |
Ans. To identify vertical angles in a diagram, look for two intersecting lines that create four angles. The angles that are directly across from each other are the vertical angles. They will have the same measure.
| 3. Are vertical angles always equal? | |
Ans. Yes, vertical angles are always equal. This is a fundamental property of vertical angles that holds true regardless of the size or orientation of the intersecting lines.
| 4. Can you give an example of vertical angles in real life? | |
Ans. An example of vertical angles in real life is the intersection of two streets. The angles formed at the intersection of the streets are vertical angles, and the angles opposite each other will be equal.
| 5. How do vertical angles relate to other types of angles, like adjacent angles? | |
Ans. Vertical angles are not adjacent; instead, they are opposite angles formed by the intersection of two lines. Adjacent angles, on the other hand, are angles that share a common vertex and a side, and they are not equal unless specified.
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Apr 21, 2026 Last updated
Document Description: Visual Worksheet: Vertical Angles for Class 9 2026 is part of Mathematics (Maths) Class 9 preparation. The notes and questions for Visual Worksheet: Vertical Angles have been prepared according to the Class 9 exam syllabus. Information about Visual Worksheet: Vertical Angles covers topics like and Visual Worksheet: Vertical Angles Example, for Class 9 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Visual Worksheet: Vertical Angles.
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