Inscribed Angles | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this example we're asked to use the circle shown | |
| 00:04 | to find the values of X . And Y notice | |
| 00:08 | that X represents the measure of an inscribed angle . | |
| 00:12 | So we know that it equals half the measure of | |
| 00:15 | the intercepted arc , which is the arc shown here | |
| 00:23 | . Since we're given that the two parts of this | |
| 00:25 | arc measure 95 and 37°. . Then the full arc | |
| 00:31 | measures 95 plus 37 or 132°. . So X , | |
| 00:41 | which represents the measure of the inscribed angle equals 1/2 | |
| 00:46 | times 132 . Uh huh . Yeah , one half | |
| 00:57 | times 132 is 66 . So X equals 66 Which | |
| 01:07 | means that we can replace the X . in our | |
| 01:09 | Diagram with 66 next to find the value of why | |
| 01:20 | remember that if a quadrilateral is inscribed in a circle | |
| 01:26 | then opposite angles are supplementary . This means that the | |
| 01:31 | angles that measure 66° and Y° are supplementary . So | |
| 01:38 | we can set up the equation 66 plus Why Equals | |
| 01:45 | 180 , Solving from here , we subtract 66 from | |
| 01:51 | both sides . Mhm . Mhm . And we find | |
| 01:57 | that why equals 114 . |
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