Respuesta :

Answer:

  • a = 144
  • b = 67

Step-by-step explanation:

When a transversal crosses parallel lines, the interior same-side angles are supplementary. That means ...

  a° and 36° are supplementary, so

  a = 180 - 36 = 144

and

  b° and 113° are supplementary, so

  b = 180 -113 = 67

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The bases of this trapezoid are parallel, as indicated by the right-pointing arrow on each one. The left- and right-ends of the trapezoid are lines between the parallel bases that meet the requirement for the marked angles next to each one to be supplementary.