# Class 9

Explore popular questions from Lines and Angles for Class 9. This collection covers Lines and Angles previous year Class 9 questions hand picked by experienced teachers.

## Mathematics

Lines and Angles

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Q 1. The difference of two complementary angles is {tex} 40 ^ { \circ } . {/tex} Then the angles are:

{tex} 65 ^ { \circ } , 25 ^ { \circ } {/tex}

B

{tex} 70 ^ { \circ } , 20 ^ { \circ } {/tex}

C

{tex} 70 ^ { \circ } , 30 ^ { \circ } {/tex}

D

{tex} 60 ^ { \circ } , 30 ^ { \circ } {/tex}

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Q 2. All linear pairs are:

Supplementary

B

Vertically opposite

C

Right angles

D

None of these

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Q 3. In the given figure {tex} \angle \mathrm { A } + \angle \mathrm { B } + \angle \mathrm { C } + \angle \mathrm { D } + \angle \mathrm { E } {/tex} is equal to:

A

{tex} \pi / 2 {/tex}

{tex} 5 \pi / 2{/tex}

C

{tex} 3 \pi / 2 {/tex}

D

{tex} 2 \pi {/tex}

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Q 4. In the given figure, {tex} \angle x {/tex} is greater than one fifth of a right angle, then:

A

{tex} y > 162 ^ { \circ } {/tex}

B

{tex} y \geq 162 ^ { \circ } {/tex}

C

{tex} { y } \leq 162 ^ { \circ } {/tex}

{tex} y < 162 ^ { \circ } {/tex}

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Q 5. In figure AC bisects {tex} \angle \mathrm { BAD } {/tex}. What type of triangle is {tex} \triangle \mathrm { ACB } ? {/tex}

A

Acute angle triangle

B

Right angled triangle

Obtuse angled triangle

D

Reflex Triangle

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Q 6. Assertion: Line {tex} \mathrm { L } _ { 1 } , {/tex} is parallel to line {tex} \mathrm { L } _ { 2 } {/tex} and {tex} \mathrm { L } _ { 2 } {/tex} is parallel to line {tex} \mathrm { L } _ { 3 } {/tex}, then {tex} \mathrm { L } _ { 1 } {/tex} parallel to {tex} \mathrm { L } _ { 3 } {/tex}.
Reason: Two lines perpendicular to the same line are parallel to each other.

Both Assertion and Reason are true and Reason is the correct explanation of 'Assertion'

B

Both Assertion and Reason are true and Reason is not the correct explanation of 'Assertion'

C

Assertion is true but Reason is false

D

Assertion is false but Reason is true

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Q 7. In the figure above, which of the following is the correct inequality?

{tex} c ^ { \circ } < a ^ { \circ } < e ^ { \circ } < b ^ { \circ } < d ^ { \circ } {/tex}

B

{tex} c ^ { \circ } < a ^ { \circ } < e ^ { \circ } < d ^ { \circ } < e ^ { \circ } {/tex}

C

{tex} a ^ { \circ } < c ^ { \circ } < e ^ { \circ } < b ^ { \circ } < d ^ { \circ } {/tex}

D

{tex} c ^ { \circ } < a ^ { \circ } < d ^ { \circ } < b ^ { \circ } < e ^ { \circ } {/tex}

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Q 8. What is the measure of each angle of a regular hexagon?

{tex} 120 ^ { \circ } {/tex}

B

{tex} 60 ^ { \circ } {/tex}

C

{tex} 80 ^ { \circ } {/tex}

D

{tex} 160 ^ { \circ } {/tex}

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Q 9. Which of the following statements relating to 3 lines {tex}\mathrm L _ { 1 }, \mathrm L _ { 2 } {/tex} and {tex}\mathrm L _ { 3 } {/tex} in the same plane is correct.

A

If {tex} \mathrm { L } _ { 2 } {/tex} and {tex} \mathrm { L } _ { 3 } {/tex} are both parallel to {tex} \mathrm { L } _ { 1 } {/tex}, then they are parallel to each other

B

If perpendicular distance between {tex} \mathrm { L } _ { 1 } {/tex} and {tex} \mathrm { L } _ { 3 } {/tex} is equal to perpendicular distance between {tex} \mathrm { L } _ { 1 } {/tex} and {tex} \mathrm { L } _ { 2 } {/tex}. then {tex} \mathrm { L } _ { 1 } , \mathrm { L } _ { 2 } {/tex} and {tex} \mathrm { L } _ { 3 } {/tex} are parallel to each other

C

If {tex} \mathrm { L } _ { 2 } {/tex} and {tex} \mathrm { L } _ { 3 } {/tex} are both perpendicular to {tex} \mathrm { L } _ { 1 } {/tex} then they are parallel to each other

All of the above

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Q 10. In the given figure, {tex} \mathrm { AC } {/tex} || {tex} \mathrm { BD } , \angle \mathrm { CAF } = 25 ^ { \circ } , \angle \mathrm { DBG } = 65 ^ { \circ } {/tex} and {tex} \mathrm { BF } = \mathrm { BA } {/tex}. Then which of the following statements is correct :-

A

{tex} \angle \mathrm { FBD } = 15 ^ { \circ } {/tex}

B

{tex} \angle \mathrm { FBG } = 80 ^ { \circ } {/tex}

C

{tex} \angle \mathrm { BFE } = 140 ^ { \circ } {/tex}

All of the above

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Q 11. A triangle can have at most {tex} {/tex} obtuse angles.

one

B

two

C

three

D

none

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Q 12. Study the figure shown here (not drawn to scale). If ABG is a straight line, then find {tex}\angle{/tex}ABH and reflex {tex}\angle{/tex}ABC respectively.

A

110{tex}^\circ{/tex}, 220{tex}^\circ{/tex}

B

120{tex}^\circ{/tex}, 225{tex}^\circ{/tex}

120{tex}^\circ{/tex}, 235{tex}^\circ{/tex}

D

110{tex}^\circ{/tex}, 215{tex}^\circ{/tex}