Identify the complementary and supplementary pairs of angles from the following pairs:
(i) 25o, 65o
(ii) 120o, 60o
(iii) 63o, 27o
(iv) 100o, 80o
In Fig. 18, A, B, C are collinear points and ∠DBA = ∠EBA.
(i) Name two linear pairs.
(ii) Name two pairs of supplementary angles.
In Fig. 23, OA and OB are opposite rays:
(i) If x = 25o, what is the value of y?
(ii) If y = 35o, what is the value of x?
In Fig. 30, lines l1 and l2 intersect at O, forming angles as shown in the figure. If x= 45o , find the values of y, z and u.
In Fig. 31, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u
In Fig. 58, line n is a transversal to line l and m. Identify the following:
(i) Alternate and corresponding angles in Fig. 58 (i)
(ii) Angles alternate to ∠d and ∠g and angles corresponding to ∠f and ∠h in Fig. 58 (ii)
(iii) Angle alternate to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 58 (iii)
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig.58 (ii)
In Fig. 59, AB and CD are parallel lines intersected by a transversal PQ at L and M respectively, If ∠CMQ = 60o, find all other angles in the figure.
In Fig. 60, AB and CD are parallel lines intersected by a transversal by atransversal PQ at L and M respectively. If ∠LMD = 35o find ∠ALM and∠PLA.
The line n is transversal to line l and m in Fig. 61. Identify the angle alternate to∠13, angle corresponding to ∠15, and angle alternate to ∠15.
In Fig. 62, line l ∥ m and n is transversal. If ∠1 = 40°, find all the angles andcheck that all corresponding angles and alternate angles are equal.
In Fig.63, line l ∥ m and a transversal n cuts them P and Q respectively. If ∠1 =75°, find all other angles.
In Fig. 64, AB ∥ CD and a transversal PQ cuts at L and M respectively. If ∠QMD= 100o, find all the other angles
In Fig. 69, l, m and n are parallel lines intersected by transversal p at X, Y andZ respectively. Find ∠1, ∠2 and ∠3.
In Fig. 74, a transversal n cuts two lines l and m such that ∠2 = 65o and ∠8 =65o . Are the lines parallel?
In Figure, we have
(i) ∠MLY = 2∠LMQ
(ii) ∠XLM = (2x - 10)o and ∠LMQ = (x + 30)o , find x.
(iii) ∠XLM = ∠PML, find ∠ALY
(iv) ∠ALY = (2x - 15)o , ∠LMQ = (x + 40)o , findx
In Fig. 81, side BC of ΔABC has been produced to D and CE ∥ BA. If ∠ABC =65o , ∠BAC = 55o , find ∠ACE, ∠ECD, ∠ACD.
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