If the angles of a pentagon are yo- y-6-y-80-2 y-220 and 24-350- then the value of y is

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Standard IX

Mathematics

Axioms

If the angles...

Question

If the angles of a pentagon are yo, (y - 6)^o, (y + 8)^o, (2y - 22)^o and (24 + 35)^o, then the value of y is

90^o

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60^o

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85^o

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75^o

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Solution

The correct option is D
75^o

y + y - 6 + y + 8 + 2y - 22 + 2y + 35 = (5 - 2)180

47 + 15 = 540

y = 75^o

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If the angles of a pentagon are yo, (y - 6)o, (y + 8)o, (2y - 22)o and (24 + 35)o, then the value of y is

The correct option is D 75oy + y - 6 + y + 8 + 2y - 22 + 2y + 35 = (5 - 2)180 47 + 15 = 540 y = 75o

If the angles of a pentagon are yo, (y - 6)^o, (y + 8)^o, (2y - 22)^o and (24 + 35)^o, then the value of y is

The correct option is D
75^o

y + y - 6 + y + 8 + 2y - 22 + 2y + 35 = (5 - 2)180

47 + 15 = 540

y = 75^o