Angles Created When 2 Lines Meet Or Cross - What Are And Properties Of Vertical Angles Explained

In this video we discuss the angles created when 2 lines meet, cross or intersect. We also cover what are vertical angles and the properties of vertical angles and go through an example.

Transcript/notes
When 2 lines meet, such as line XQV and line WQT, 4 angles are created, angle WQV, angle VQT, angle TQX and angle XQW. Also, 2 sets of vertical angles are made.

Vertical angles are angles that are opposite each other when 2 lines cross, and vertical angles have the same measurement. In this diagram, angle VQT and angle XQW are vertical angles and angle WQV and angle TQX are vertical angles. We often put this little arc to signify that the angles have the same measurement, and we could use an arc with a tick mark to signify that the other set of angles have the same measurement as one another.
If we know the measurement of one of the angles, then we can find the measurement of all 3 of the other angles.

If, we are given that angle WQV equals 50 degrees. Because vertical angles or opposite angles have equal measurements, angle TQX will also equal 50 degrees.

We also know that a straight line is a straight angle that has a measurement of 180 degrees. So line XQV, or angle XQV is 180 degrees. With this, we know that angle WQV plus angle XQW equal 180 degrees. So, angle XQW will equal 180 degrees minus angle WQV, which is 50 degrees. 180 degrees minus 50 degrees equals 130 degrees. And so, angle XQW equals 130 degrees.

And since angle XQW and angle VQT are equal, angle VQT also equals 130 degrees.

Timestamps
0:00 4 angles are created when 2 lines meet or cross
0:15 What are vertical angles?
0:50 Finding angle measurements

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