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Maths Parallel and Intersecting Lines - Chapter 5 Class 7 (Ganita Prakash) MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 7 · Maths · CBSE

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Chapter 5 Class 7 - Parallel and Intersecting Lines (Ganita Prakash) | 10 questions | about 8 minutes

Practise Parallel and Intersecting Lines - Chapter 5 Class 7 (Ganita Prakash) with Teachoo's 10 Question MCQ (including Assertion) (Class 7 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10

Reason (R): Equating the corresponding angles gives \(4x+12=6x-20\), so \(x=16\).

Assertion (A): The scaffold-angle equation gives \(x=14\).

Scaffold-angle assertionCorresponding angles on parallel rails carry expressions.lmt(4x+12)°(6x−20)°
Check the claimed algebraic result.
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Question 2 of 10
The slanting line crosses three parallel vertical lines. If the acute angle at \(E\) is \(55^\circ\), what is the sum of the corresponding obtuse angles at \(B\) and \(D\)?
Three parallel lines cut by one slanting lineAB, CD and EF are parallel; B, D and E are collinear. The acute angle at E is given and the obtuse angle at B is required.ABCDEF55°??
The arcs make the two angle regions unambiguous.
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Question 3 of 10

Reason (R): Since \(l\perp t\), line \(m\) must also make \(90^\circ\) with \(t\) to be parallel to \(l\).

Assertion (A): A line \(m\) through \(A\) making \(60^\circ\) with \(t\) will be parallel to \(l\).

Logical construction through a pointLine t through A is perpendicular to l. A candidate line m through A is to be fixed.lAtm through A
Decide the angle m must make with t so that m is parallel to l.
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Question 4 of 10
Alternate interior angles are \((3x+6)^\circ\) and \((5x-30)^\circ\). Find their common measure.
Alternate angles on two slanting parallel linesTwo arrow-marked slanting lines are parallel and a horizontal transversal forms two alternate interior angles.(3x+6)°(5x−30)°
The two curved arcs mark the exact alternate-angle pair.
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Question 5 of 10
In the three-parallel-line figure, the acute angle at \(E\) is \(55^\circ\). Find the marked obtuse angle at \(B\).
Three parallel lines cut by one slanting lineAB, CD and EF are parallel; B, D and E are collinear. The acute angle at E is given and the obtuse angle at B is required.ABCDEF55°?
The arcs make the two angle regions unambiguous.
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Question 6 of 10

Reason (R): \(117^\circ+63^\circ=180^\circ\).

Assertion (A): In the figure, if \(\angle a=117^\circ\), then the adjacent \(\angle b=63^\circ\).

Intersecting-line angle questionTwo lines intersect at O. Clearly drawn arcs mark the given and required angles.O117°?
The purple arc is given; the dashed amber arc is required.
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Question 7 of 10
All four angles at \(O\) are equal and \(\angle a=(3x-6)^\circ\). Find \(x\).
Four equal anglesAll four arcs carry matching tick marks; one angle is labelled 3x minus 6 degrees.O(3x−6)°
Find x using the full turn around O.
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Question 8 of 10

Reason (R): Nine ratio-parts fill \(90^\circ\), so one part is \(10^\circ\).

Assertion (A): When the three parts of the right angle are in the ratio \(2:3:4\), the largest part is \(40^\circ\).

A right angle split into three marked partsA right angle at O is divided by two rays. Each part has a visible arc.O2 parts3 parts?
The square marks 90°. The dashed amber arc is required.
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Question 9 of 10

Reason (R): Using auxiliary parallels gives \((103^\circ-38^\circ)+47^\circ=112^\circ\).

Assertion (A): The broken-line angle \(\angle NOP\) is \(103^\circ\).

Broken line between parallel linesLM is parallel to PQ. Broken line M-N-O-P has clearly marked arcs at M, N, O and P.MNOP38°103°47°?
Find the dashed amber angle at O.
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Question 10 of 10
In the quadrilateral, \(\angle DAC=(x+10)^\circ\), \(\angle CAB=(2x-4)^\circ\) and \(\angle ADC=72^\circ\). Find \(\angle CAB\).
Parallel-sided quadrilateral angle problemAB is parallel to CD, AD is parallel to BC, and diagonal AC divides the angle at A.ABCD(x+10)°72°?
Every marked value is attached to its exact angle arc.
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