Q57 of 153 Page 148

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



If AB || CD and t is the transversal as shown, then 3 = 5.




If a ray stands on a straight line the sum of the adjacent angles so formed is 180°.


3 and 5 are pair of consecutive interior angles. It is not necessary to be always equal.

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55

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



If the side BC of a ΔABC is produced to D, then ACD = A + B.



The sum of the angles of a triangle is 180°.


56

Each question consists of two statements, namely, Assertion (A) and Reason (R). Choose the correct option.











Assertion (A)



Reason (R)



If two lines AB and CD intersect at O such that AOC = 40°, then BOC = 140°.




If two straight lines intersect each other, then vertically opposite angles are equal.


58

Match the following columns:























Column I



Column II



(a) If x° and y° be the measures of two complementary angles such that 2x = 3y, then x=………..



(p) 45o



(b) If an angle is the Supplement of itself, then


then the measure of the angle is ………….



(q) 60o



(c) If an angle is the complement of itself, then


the measure of the angle is………….



(r) 54o



(d) If x° and y° be the angles forming a linear pair such that x – y = 60°, then y = …



(s) 90o



The correct answer is:


A. – …….., B. – ……….,


C. – ………, D. – ……….,

59

Match the following columns:























Column I



Column II



(a) In the given figure, ABC is a straight line. Then, ACD = ..




(p) 110°



(b) In the given figure, AOC = (2x 10)° and BOC = (3x 10)°. Then, AOD =




(q) 85°



(c) In the given figure, side


BC of ΔABC has been produced to D. If A = 65° and B = 60°, then ACD = ?




(r) 72°



(d) In the given figure, AB || DE, CDE = 50° and BAC = 45°, then ACB = .




(s) 125°



The correct answer is:


A. – …….., B. – ……….,


C. – ………, D. – ……….,