Q. 24.3( 373 Votes )

# In Fig. 6.14, lin

Answer :

Given: POY = 90O

a : b = 2 : 3

Now, according to the question,

POY + a + b = 180o       (Angles made on a straight line are supplementary or sum of angles equals to 180°)

90o + a + b = 180o

a + b = 90o   .............eq(1)

Now a:b = 2:3 ............eq(2)

Let a be 2 x and b be 3 x
So putting this value in eq(1),

2x + 3x = 90o

5x = 90o

x = 18o

Hence,

a = 2 x 18o = 36o

And,

b = 3 x 18o = 54o

And,

b + c = 180o (Linear pair)

54o + c = 180o

c = 126o

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