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15. find the values of x and y. (18y + 5)° (10x - 61)° (x + 10)°

Question

  1. find the values of x and y. (18y + 5)° (10x - 61)° (x + 10)°

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. So, \(10x - 61=x + 10\)

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Step2: Use linear - pair property

\((18y + 5)+(x + 10)=180\) (since they form a linear pair). Substitute \(x = 7\) into the equation:

$$ LATEXBLOCK1 $$

Answer:

\(x = 7,y = 9\)