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postnew [5]
3 years ago
9

Please do number 3___________________

Mathematics
1 answer:
Alexandra [31]3 years ago
4 0

9514 1404 393

Answer:

  m∠SVW = 80°

Step-by-step explanation:

3. The sum of <em>same-side interior</em> angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

  4x + 5x = 180

  9x = 180 . . . . . . . . collect terms

  x = 20 . . . . . . . . . . divide by 9

m∠SVW = 4x° = 4(20)°

m∠SVW = 80°

_____

4. Then m∠VWT = 180° -80° = 100° = 5x°.

__

5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

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icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

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So, the slope is:

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By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

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Answer:

The lines are perpendicular.

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