The Isosceles Triangle Theorem | MathHelp.com - By MathHelp.com
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00:0-1 | So let's say we're given an isosceles triangle with the | |
00:04 | vertex angle that measures X degrees And a base angle | |
00:09 | that measures 70°. . And we're asked to find the | |
00:12 | value of X . Remember that the isosceles triangle theorem | |
00:18 | states that if two sides of a triangle are congruent | |
00:22 | , then the ankles opposite those sides are congruent . | |
00:27 | So here , since we have two congruent sides And | |
00:31 | the angle opposite one of the congruent sides measures 70° | |
00:37 | , Then we know that the other angle opposite the | |
00:41 | other congruent side must also measure 70°. . Now to | |
00:48 | find the value of X . remember that the sum | |
00:51 | of the measures of the angles of a triangle is | |
00:54 | 180°. . So we can set up the equation X | |
01:00 | Plus 70 plus 70 equals 180 , Simplifying . On | |
01:08 | the left side , 70 plus 70 is 140 . | |
01:13 | So we have eggs plus 140 Equals 180 And subtracting | |
01:22 | 140 from both sides . Yes , We find that | |
01:29 | x equals 40 . So the angles of this isosceles | |
01:39 | triangle measure 70 70 and 40° |
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