Question

In figure if x : y =1 : 4, then values of x and y are respectively

a) 36° and 144°
b) 18° and 72°
c) 144° and 36°
d) 72° and 18°

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Answer 1

Answer:

1x+4x= 180° ( linear pair)

5x=180°

x= 36°

4x= 4( 36°)= 144°

1x= 1(36°) = 36°

so option a is crct

hope this helps u..

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

In figure if x : y = 1 : 4, then values of x and y are respectively

a) 36° and 144°

b) 18° and 72°

c) 144° and 36°

d) 72° and 18°

EVALUATION

Here it is given that x : y = 1 : 4

Let x = k and y = 4k

From the given figure we see that

x + y = 180°

⇒ k + 4k = 180°

⇒ 5k = 180°

⇒ k = 36°

Thus we have ,

x = k = 36°

y = 4k = ( 4 × 36° ) = 144°

FINAL ANSWER

Hence the correct option is a) 36° and 144°

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