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8. (3x + 5)° 70° (2x)° (x + 3y)° x = y =

Question

  1. (3x + 5)° 70° (2x)° (x + 3y)° x = y =

Explanation:

Step1: Use the property of adjacent angles in a parallelogram

In a parallelogram, adjacent angles are supplementary. So, \((3x + 5)+2x=180\)

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Step2: Use the property of opposite angles in a parallelogram

Opposite angles in a parallelogram are equal. So, \(x + 3y=70\)
Substitute \(x = 35\) into \(x+3y = 70\)

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Answer:

\(x = 35\), \(y=\frac{35}{3}\)