ShynaN191304 ShynaN191304
  • 31-10-2022
  • Mathematics
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108° 4x+8° O alternate interior corresponding vertical linear pair same-side Interior alternate exterior degrees

108 4x8 O alternate interior corresponding vertical linear pair sameside Interior alternate exterior degrees class=

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DenniseA642921 DenniseA642921
  • 31-10-2022
Answer:

Alternate Interior angles

x = 25

Explanations:

By careful observation of the diagram, we would see that both angles are at the opposite sides of the transversal. At the same time, they are at the interior of the two parallel lines.

This means that <108 and <4x + 8 are alternate interior angles.

Since the two lines intersecting the transversal are parallel, the alternate interior angles are equal

That is,

4x + 8 = 108

4x = 108 - 8

4x = 100

x = 100/4

x = 25

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