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find the value of y. (3y + 1)° (8x - 61)° (6x - 13)°

Question

find the value of y. (3y + 1)° (8x - 61)° (6x - 13)°

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So, \(8x - 61=6x - 13\)

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Step2: Use the property of supplementary angles

\((3y + 1)+(8x - 61)=180\) (linear - pair of angles, sum to \(180^{\circ}\)). Substitute \(x = 24\) into the equation.

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Answer:

\(y = 16\)