Question

In the adjoining figure HI || JK, find the values of and y​

Answer 1

Answer:

angle HJK=67°

angle HJK=angle AHI=67°(corresponding angles)

in triangle AHI,

angle HAI=46°

angle HAI+angle AHI+angle HIA=180°(Angle sum property)

46°+67°+x=180°

113°+x=180°

x=180°-113°=67°

x+y=180°(Linear pair)

67°+y=180°

y=180°-67°=113°

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