Question

1. find the value of the variables in the figure.

(5x - 7)° (4y + 3)°
(3x + 17)°

Explanation:

Step1: Solve for \(x\)

Since \(a\parallel b\), \((6x - 7)^{\circ}=(3x + 17)^{\circ}\) (alternate - interior angles are equal).

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Step2: Solve for \(y\)

\((4y + 3)^{\circ}+(3x + 17)^{\circ}=180^{\circ}\) (same - side interior angles are supplementary).
Substitute \(x = 8\) into \((3x + 17)\): \(3\times8+17=24 + 17=41\)

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Answer:

\(x = 8\) and \(y = 34\)