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In the figure below, k || m. Find the values of y and x.

In the figure below, k || m. Find the values of y and x.-example-1

1 Answer

1 vote

Answer:

x = 23

y = 105

Explanation:

It's given that lines 'k' and 'm' are the parallel lines and 'l' is a transversal line.

Therefore, y° + 75° = 180° [Sum of consecutive exterior angles = 180°]

y = 180 - 75

y = 105°

And y° + (4x - 17)° = 180° [Linear pair of angles are supplementary]

105 + (4x - 17) = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

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