Triangle XYZ specified. On its two sides XY and YZ, points A and B are indicated,
| August 16, 2021 | education
Triangle XYZ specified. On its two sides XY and YZ, points A and B are indicated, respectively. Prove that if YAB is equal to YXZ, then ABY is equal to XZY.
If the angle YAB is equal to the angle YXZ, then triangles AYB and XYZ are similar in the first sign of similarity of triangles – in two angles.
For similar triangles, the angles between similar sides are equal, which means that the angle ABY is equal to the angle XZY, which is what was required to prove.
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