beach27
beach27 beach27
  • 03-12-2019
  • Mathematics
contestada

In this figure, AB || CD and mZ6 = 75"
What is mZ3?
Enter your answer in the box.

In this figure AB CD and mZ6 75 What is mZ3 Enter your answer in the box class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 03-12-2019

Answer:

105

Step-by-step explanation:

Theorem:

If parallel lines are cut by a transversal, then same-side interior angles are supplementary.

Lines AB and CD are parallel, and angles 3 and 6 are same-side interior angles, so by the theorem above, angles 3 and 6 are supplementary. That means that the sum of their measures is 180 deg.

m<3 + m<6 = 180

m<3 + 75 = 180

Subtract 75 from both sides.

m<3 = 105

Answer: 105 degrees

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