Learn Mathematics - MathHelp.com - 1000+ Online Math Lessons - By MathHelp.com
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| 00:0-1 | The following is a selected video from your teacher.com where | |
| 00:03 | you can browse over 450 complete math lessons with example | |
| 00:07 | videos , interactive practice problems , self tests and more | |
| 00:11 | . Try a complete lesson today at your teacher dot | |
| 00:14 | com . So let's say we're given an isosceles triangle | |
| 00:22 | with the vertex angle that measures X° and a base | |
| 00:26 | angle that measures 70°. . And we're asked to find | |
| 00:31 | the value of X . Remember that the isosceles triangle | |
| 00:35 | theorem states that if two sides of a triangle are | |
| 00:39 | congruent , then the ankles opposite , those sides are | |
| 00:43 | congruent . So here since we have two congruent sides | |
| 00:49 | And the angle opposite one of the congruent sides measures | |
| 00:54 | 70° , Then we know that the other angle opposite | |
| 00:58 | the other congruent side must also measure 70°. . Now | |
| 01:06 | to find the value of X . remember that the | |
| 01:09 | sum of the measures of the angles of a triangle | |
| 01:12 | is 180°. . So we can set up the equation | |
| 01:17 | X plus 70 plus 70 Equals 180 Simplifying . On | |
| 01:27 | the left side , 70 plus 70 is 140 , | |
| 01:32 | So we have eggs plus 140 Equals 180 , And | |
| 01:40 | subtracting 140 from both sides . Mhm . Yes , | |
| 01:47 | We find that x equals 40 . So the angles | |
| 01:56 | of this isosceles triangle measure 70 , 70 and 40 | |
| 02:02 | degrees . |
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