Rs Aggarwal 2020 2021 Solutions for Class 7 Maths Chapter 14 Properties Of Parallel Lines are provided here with simple step-by-step explanations. These solutions for Properties Of Parallel Lines are extremely popular among Class 7 students for Maths Properties Of Parallel Lines Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2020 2021 Book of Class 7 Maths Chapter 14 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2020 2021 Solutions. All Rs Aggarwal 2020 2021 Solutions for class Class 7 Maths are prepared by experts and are 100% accurate.

#### Question 1:

In the given figure, l || m and t is a transversal.
If ∠5 = 70°, find the measure of each of the angles
∠1, ∠3, ∠4 and ∠8.  #### Question 2:

In the given figure, l || m and t is a transversal. If ∠1 and ∠2 are in the ratio 5 : 7, find the measure of each of the angles
∠1, ∠2, ∠3 and ∠8.  #### Question 3:

Two parallel lines l and m cut by a transversal t. If the interior angles of the same side of t be (2x − 8)° and (3x − 7)°, find the measure of each of these angles. #### Question 4:

In the given figure, l || m. If s and t be transversals such that s is not parallel to t. find the values of x and y. From the given figure: #### Question 5:

In the given figure, ∠B = 65° and ∠C = 45° in ∆ABC and DAE || BC. If ∠DAB = x° and ∠EAC = y°, find the values of x and y.  #### Question 6:

In the adjoining figure, it is given that CE || BA, ∠BAC = 80° and ∠ECD = 35°.
Find (i) ∠ACE, (ii) ∠ACB,  (iii) ∠ABC.  #### Question 7:

In the adjoining figure, it is being given that AO || CD, OB || CE and ∠AOB = 50°
Find the measure of ∠ECD.  #### Question 8:

In the adjoining figure, it is given that AB || CD,AOB = 50° and ∠CDO = 40°.
Find the measure of ∠BOD.  #### Question 9:

In the given figure, AB || CD and a transversal EF cuts them at G and H respectively.
If GL and HM are the bisectors of the alternate angles ∠AGH and ∠GHD respectively, prove that GL || HM.  #### Question 10:

In the given figure, AB || CD,
ABE = 120°, ∠ECD = 100° and ∠BEC = x°
Find the value of x.  #### Question 11:

In the given figure, ABCD is a quadrilateral in which AB || DC and AD || BC.  #### Question 12:

In the given figure, l || m and p || q.
Find the measure of each of the angles ∠a, ∠b, ∠c and ∠d.  #### Question 13:

In the given figure, AB || DC and AD || BC, and AC is a diagonal. If ∠BAC = 35°, ∠CAD = 40°, ∠ACB = x° and ∠ACD = y°, find the value of x and y  #### Question 14:

In the given figure, AB || CD and CA has been produced to E so that ∠BAE = 125°.
If ∠BAC = x°, ∠ABD = x°, ∠BDC = y° and ∠ACD = z°, find the values of x, y, z.  #### Question 15:

In each of the given figures, two lines l and m are cut by a transevrsal t.
Find whether l || m.    