∠A与∠B互余,2∠A与∠C互补,∠C-∠B=54°,求∠A,∠B,∠C

问题描述:

∠A与∠B互余,2∠A与∠C互补,∠C-∠B=54°,求∠A,∠B,∠C

∠A+∠B=90° ①
2∠A+∠C=180° ②
∠C-∠B=54° ③
②-③,得:2∠A+∠B=126° ④
④-①,得:∠A=36°
所以∠B=90°-36°=54°
∠C=108°