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Class 9 Exam  >  Class 9 Tests  >  Test: Parallel Lines And Co-Interior Angles - Class 9 MCQ

Test: Parallel Lines And Co-Interior Angles - Class 9 MCQ


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15 Questions MCQ Test - Test: Parallel Lines And Co-Interior Angles

Test: Parallel Lines And Co-Interior Angles for Class 9 2024 is part of Class 9 preparation. The Test: Parallel Lines And Co-Interior Angles questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Parallel Lines And Co-Interior Angles MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Parallel Lines And Co-Interior Angles below.
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Test: Parallel Lines And Co-Interior Angles - Question 1
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From figure, identify the incorrect statement, given that l || m and t is transversal.

Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 1

Angle 2 and 8 are a pair of alternate interior angles, and thus are equal. so they don't form a pair of supplementary angles.

Test: Parallel Lines And Co-Interior Angles - Question 2
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If two parallel lines are intersected by a transversal, then the bisectors of any two corresponding angles are

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Test: Parallel Lines And Co-Interior Angles - Question 3
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In figure, PQ||RS QPO = 70o ROT = 20o. Find the value of x.

Test: Parallel Lines And Co-Interior Angles - Question 4
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Given that AB || CD, intersected by a transversal. ∠1 = (120 -x)° and ∠5 = 5x°, then the measures of ∠1 and ∠5 are
Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 4
Angle1=angle5(corresponding angles)
therefore,
120-x=5x
or,120=5x+x
or,6x=120
or, x=120/6
or,x=20
and, 120-x=120-20=100
and, 5x=5*20=100

hence proved
Test: Parallel Lines And Co-Interior Angles - Question 5
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l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. The value of ∠2 will be
Test: Parallel Lines And Co-Interior Angles - Question 6
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If AB || CD, CD || EF and y:z = 3:7 then x is
Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 6

It is given that,

Then ∠CON = p

Now CD║EF

So, p = z  (alternate interior angle) .. (1)

Also, p + y = 180°  (linear pair)

y + z = 180° [ from (1) ]

Put  

 z = 126°

Also,  AB║ CD &  MN is transversal. We know that the sum of interior angles on the same side of transversal is supplementry.

x + y = 180°

x + 54° = 180°

x = 180° - 54°

x = 126°

 

Test: Parallel Lines And Co-Interior Angles - Question 7
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Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 are
Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 7

90o - ∠5 = 180o - ∠4,

And ∠4 + ∠5 = 180o (Consecutive angles on same side of transversal)

Substituting the value of ∠4 in the first equation we get

∠5 = 45o

Then ∠|4 = 135o

Test: Parallel Lines And Co-Interior Angles - Question 8
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If a transversal intersects two parallel lines, then the consecutive interior angles are
Test: Parallel Lines And Co-Interior Angles - Question 9
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Sum of the measure of an angle and its vertically opposite angle is always.
Test: Parallel Lines And Co-Interior Angles - Question 10
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In the figure if AB ||CD, ∠APQ = 50° and ∠PRD = 127° then y is equal to
Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 10
X=50,x+y=127(exterior angle theorem)50+y=127y=127-50y=77
Test: Parallel Lines And Co-Interior Angles - Question 11
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In the given figure, the value of y is
Test: Parallel Lines And Co-Interior Angles - Question 12
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In the adjoining figure, if PQ || RS, ∠PAB = 45° and ∠ACS = 135°, the value of p and q
Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 12

In the given figure:

  • ∠PAB = 45°
  • ∠ACS = 135°
  • PQ ∥ RS

Since PQ ∥ RS, and ∠PAB and ∠ABC form corresponding angles with PQ and RS, we have:

  1. ∠ABC = ∠PAB = 45°, so q = 45°.

Similarly, ∠ACS forms a linear pair with ∠BCS:

  1. ∠BCS = 180° - 135° = 45°, which gives us p = 45°.

Thus, the values of p and q are both:

d) 45°, 90°

Test: Parallel Lines And Co-Interior Angles - Question 13
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In the adjoining figure, AB || CD || EF, the value of x is:
Test: Parallel Lines And Co-Interior Angles - Question 14
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If two straight lines are perpendicular to a line l, then they are.
Test: Parallel Lines And Co-Interior Angles - Question 15
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If two interior angles on the same side of a transversal intersecting two parallel lines in the ratio 2:3 ,then find the larger of two angles.
Detailed Solution for Test: Parallel Lines And Co-Interior Angles - Question 15

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