In the figure, point k is the image of point j under a reflection across line l. find y

The value of y in the figure given in the question is 40°

The reflection across point L means that the angle formed at point L is 90°

This can be translated to mean ;

Hence,

Solving the expression ; (3y - 30)° = 90°

(3y - 30)° = 90°

Collect like terms

3y = 90° + 30°

3y = 120°

Divide both sides by 3

3y/3 = 120°/3

y = 40°

Therefore, the value of y in the figure shown is 40°

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