Corresponding Angles of Similar Triangles | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this example we're given that triangle J O . | |
| 00:04 | E . Is similar to triangle A . R . | |
| 00:07 | T . And we're asked to find the values of | |
| 00:10 | X and Y to find the value of X . | |
| 00:14 | Remember that if two triangles are similar then corresponding angles | |
| 00:19 | are congruent . Therefore , since angle J corresponds to | |
| 00:24 | angle A . Because each letter is mentioned first in | |
| 00:28 | our similarity statement , then we know that angle J | |
| 00:32 | . Is congruent to angle A . Yeah . And | |
| 00:41 | if angle J is congruent to angle A , Then | |
| 00:45 | 87 equals x . Yeah . Yeah . Mhm . | |
| 00:59 | To find the value of why we know that the | |
| 01:02 | corresponding angles oh and are are congruent . The problem | |
| 01:13 | is we don't know the measure of angle are and | |
| 01:16 | we need to know the measure of angle are in | |
| 01:18 | order to find the value of why to find the | |
| 01:22 | measure of angle are . Remember that the sum of | |
| 01:25 | the measures of the angles of a triangle is 180°. | |
| 01:31 | . So the measure of angle are plus 87 plus | |
| 01:35 | 41 equals 180 . Mhm , Solving from here , | |
| 01:49 | 87 plus 41 is 128 . So we have , | |
| 01:55 | the measure of angle are plus 128 Equals 180 And | |
| 02:03 | subtracting 128 from both sides . Yes . We find | |
| 02:09 | that the measure of angle are is 52°. . Yeah | |
| 02:18 | . Yeah . And remember that angle oh is congruent | |
| 02:23 | to angle are So why equals 52 ? Yeah . | |
| 02:33 | Okay . |
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