Question

Given that AB // CD, find the values of the unknowns in each of the following figures. please explain​

Answer 1

Answer:

AB // CD - given.

:. On Transversal AE,

:. angle BAE =~ angle AEC >> Alternate angles

:. angle AEC = 60° - (i)

In tri AEC ,

angle AEC + angle CAE + angle ECA = 180° > {Sum of measures of all angles in a triangle.}

60° + 75° + angle ECA = 180°

angle ECA = 180° - 135°

:. angle ECA = 45°

i = 45°

j = 60°

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Answer 2

Answer:

Here is your answer

Hope it helps.