Exterior Angle Theorem | MathHelp.com - By MathHelp.com
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| 00:0-1 | To find the value of X . In this problem | |
| 00:03 | , we use the exterior angle theorem , which states | |
| 00:07 | that the measure of the exterior angle of a triangle | |
| 00:11 | equals the sum of the measures of the remote interior | |
| 00:15 | angles . So in the diagram shown the exterior angle | |
| 00:21 | three X plus six equals the sum of the remote | |
| 00:26 | interior angles X plus 30 . And solving the equation | |
| 00:33 | from here , we subtract X from both sides to | |
| 00:39 | get to X plus six equals 30 And subtracting six | |
| 00:46 | from both sides , gives us two , X equals | |
| 00:54 | 24 and dividing both sides by two , We find | |
| 01:00 | that x equals 12 . |
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