Vertical Angles | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | in this problem were asked to use the diagram shown | |
| 00:04 | to find X . The measure of angle P . | |
| 00:07 | O . S . And the measure of angle Q | |
| 00:10 | . O . R . Notice that angle P . | |
| 00:14 | O . S . And angle Q . O . | |
| 00:16 | R . R , vertical angles . So we know | |
| 00:20 | that the measure of angle pos equals the measure of | |
| 00:24 | angle Q . O . R . Since our diagram | |
| 00:28 | tells us that the measure of angle p O . | |
| 00:31 | S . Is two X plus five , and the | |
| 00:35 | measure of angle Q O R . Is seven X | |
| 00:39 | minus 40 . And we know that these angle measures | |
| 00:43 | are equal . We can set up the equation two | |
| 00:47 | x plus five oh Equals seven x -40 , Solving | |
| 00:57 | from here , we subtract two X from both sides | |
| 01:02 | . Mhm . To get five equals 5 x -40 | |
| 01:11 | And adding 40 to both sides . Yeah , yeah | |
| 01:17 | , We have 45 equals five x . And finally | |
| 01:24 | dividing both sides by five . We find that nine | |
| 01:30 | equals x . To find the measures of angles P | |
| 01:37 | . O . S and Q . O . R | |
| 01:41 | . We simply plug a nine back in for the | |
| 01:43 | X . In either one of our angles . So | |
| 01:48 | the measure of angle p O . S , which | |
| 01:53 | is two X plus five , is two times nine | |
| 01:58 | plus five , Which is 18 plus five Or 23°. | |
| 02:09 | . Uh huh . To find the measure of angle | |
| 02:13 | Q . O . R . Remember that it's equal | |
| 02:16 | to the measure of angle pos . So the measure | |
| 02:20 | of angle Q . O . R . It's also | |
| 02:24 | 23°. . |
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