iiAriana
  • iiAriana
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 80° angle and the 60° angle. - - - Write and solve an equation to determine the measure of angle x.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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iiAriana
  • iiAriana
1 Attachment
mathstudent55
  • mathstudent55
Here is the figure. |dw:1436386396920:dw|
mathstudent55
  • mathstudent55
The lines in bold black are lines and form angles x and y. |dw:1436386494600:dw|

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iiAriana
  • iiAriana
Okay
mathstudent55
  • mathstudent55
What is the sum of the measures of angles 1, 2, 3, and 4. When a bunch of angles add up to a straight angle, what do their measures add up to? |dw:1436386563967:dw|
mathstudent55
  • mathstudent55
Are you familiar with a straight angle?
iiAriana
  • iiAriana
Some what
mathstudent55
  • mathstudent55
Ok. Here is a refresher for your memory.
mathstudent55
  • mathstudent55
Opposite rays are rays that lie on the same line, have the same endpoint, but they go in different directions. Here is line m. |dw:1436386851147:dw|
mathstudent55
  • mathstudent55
Here are points A, O, and B, on line m. |dw:1436386879204:dw|
mathstudent55
  • mathstudent55
Now look at rays OA and OB. They are opposite rays because they lie on the same line, have the same endpoint, and go in different directions.
mathstudent55
  • mathstudent55
The angle formed by rays OA and OB is angle AOB. Angle AOB is a straight angle and its measure is 180 degrees.
mathstudent55
  • mathstudent55
A straight angle is an angle formed by opposite rays. The measure of a straight angle is 180 degrees.
mathstudent55
  • mathstudent55
|dw:1436387052745:dw|
mathstudent55
  • mathstudent55
Do you remember straight angles better now?
mathstudent55
  • mathstudent55
The angles measuring x, 80 and 60 form a straight angle, so their measures add up to 180 deg. |dw:1436387213264:dw|
mathstudent55
  • mathstudent55
Now you can write an equation that can be solved for x.

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