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) 45 o (b) If an angle is the Supplement of itself, then then the measure of the angle is …………. (q) 60 o (c) If an angle is the complement of itself, then the measure of the angle is…………. (r) 54 o (d) If x° and y° be the angles forming a linear pair such that x – y = 60°, then y = … (s) 90 o The correct answer is: A. – …….., B. – ………., C. – ………, D. – ……….,

Question

Philoid · Accepted Answer

(a) – (r), (b) – (s), (c) – (p), (d) – (q)

(a) – (r)

X + y = 90

X + 2x/3 = 90

5x/3 = 90

X = 270/5

= 54

(b) – (s)

X + y = 180 (according to question x =y)

X + x = 180

2x = 180

X = 90

(c) – (p)

X + y = 90 (according to question x =y)

X + x = 90

2x = 90

X = 45

(d) – (q)

X + y = 180 (linear pair of angles) ……………………….(i)

X – y =60 (according to question) …………………….. (ii)

Adding (i) and (ii) we get,

2x = 240

X = 120

Now putting this in (ii) we get,

Y = 120 – 60 = 60

Column I	Column II
(a) If x° and y° be the measures of two complementary angles such that 2x = 3y, then x=………..	(p) 45^o
(b) If an angle is the Supplement of itself, then then the measure of the angle is ………….	(q) 60^o
(c) If an angle is the complement of itself, then the measure of the angle is………….	(r) 54^o
(d) If x° and y° be the angles forming a linear pair such that x – y = 60°, then y = …	(s) 90^o