Question

what is the value of x ?​

Answer 1

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CONSTRUCTION are givine in attachments :-

DIAGRAM A) :-

GIVEN :-

Y = ?

X = ?

SOLUTION :-

105 + Y = 180° .......linear pair

Y =180 - 105

Y = 75°

therefore,

Y = X .......... alternate angle

Y = X = 75°

X = 75°

DIAGRAM B) :-

GIVEN :-

Z = ?

Y = ?

X = ?

SOLUTION :-

Z = 70° ........ alternate angle

hence,

Z + Y = 180° ..... linear pair

70 + Y = 180°

Y = 180 - 70

Y = 110°

therefore,

X = Y ...... corresponding angle

X = Y = 110°

X = 110°

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