Lines and angles

Question 5: In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS=1/2( ∠QOS– ∠POS). Question 4 Question 6

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Question 4: In Fig.6.16, if x+y=w+z, then prove that AOB is a line. Question 3 Question 5

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Question 3: In Fig. 6.15, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT. Question 2 Question 4

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Question 2: In Fig. 6.14, lines XY and MN intersect at O. If ∠POY=90°and a:b=2:3, find c. Question 1 Question 3

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 Question 1: In Fig. 6.13, lines AB and CD intersect at O. If ∠ AOC + ∠ BOE = 70° and ∠ BOD = 40°, find ∠ BOE and reflex ∠ COE. Home Question 2

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Theorem 6.8: If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles. Theorem 6.7 Class 9 | Home

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Theorem 6.7: The sum of the angles of a triangle is 180º. Theorem 6.6 Theorem 6.8

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Theorem 6.6: Lines which are parallel to the same line are parallel to each other. Theorem 6.5 Theorem 6.7

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Theorem 6.5: If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel. Theorem 6.4 Theorem 6.6

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Theorem 6.4: If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary. Theorem 6.3 Theorem 6.5

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