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NCERT Exemplar · Class 7 · Maths

Chapter 5: Lines and Angles

Practice each question, then open the answer or worked solution.

Questions

56 questions
Q41Written answer

In Fig. 5.32, if PQ||RS and QR||TS, then the value a is

NCERT Exemplar Class 7 Maths Solutions Chapter 5 Image 29

(a) 95o (b) 90o (c) 85o (d) 75o

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Worked solution

Solution:-

(a) 95o

We know that, corresponding angles are equal

So,

∠ RQP = ∠ TSR = 850 (Corresponding angles)

a + ∠ TSR = 1800

∠a = 95

In questions 42 to 56, fill in the blanks to make the statements true.

Q42Written answer

If sum of measures of two angles is 90o, then the angles are _________.

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Worked solution

Solution:-

If sum of measures of two angles is 90o, then the angles are complementary.

Q43Written answer

If the sum of measures of two angles is 180o, then they are _________.

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Solution:-

If the sum of measures of two angles is 180o, then they are supplementary.

Q44Written answer

A transversal intersects two or more than two lines at _________ points.

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Solution:-

A transversal intersects two or more than two lines at distinct points.

If a transversal intersects two parallel lines, then (Q. 45 to 48).

Q45Written answer

The sum of interior angles on the same side of a transversal is 

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Solution:-

The sum of interior angles on the same side of a transversal is 180o.

Q46Written answer

Alternate interior angles have one common.

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Solution:-

Alternate interior angles have one common arm.

Q47Written answer

Corresponding angles are on the side of the transversal.

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Solution:-

Corresponding angles are on the same side of the transversal.

Q48Written answer

Alternate interior angles are on the side of the transversal.

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Solution:-

Alternate interior angles are on the opposite side of the transversal

Q49Written answer

Two lines in a plane which do not meet at a point anywhere are called lines.

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Solution:-

Two lines in a plane which do not meet at a point anywhere are called parallel lines.

Q50Written answer

Two angles forming a __________ pair are supplementary.

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Solution:-

Two angles forming a linear pair are supplementary.