在中考中,利用三角板中固有的元素设计考题,已成为热点题型之一.解决此类问题要充分发挥特殊角30°、45°、60°、90°及等腰三角形和直角三角形的作用,利用图形变换的特征求解.一、设计方程组,求角度例1(2015年广元卷)一副三角板按如图1方式摆放,且∠1比∠2大50°.若设∠1越x°,∠2越y°,则可得到的方程组为() In the senior high school entrance examination, the use of triangular elements inherent in the design test questions, has become one of the hot questions.To solve these problems should give full play to the special angle 30 °, 45 °, 60 °, 90 ° and isosceles triangle and right triangle , The use of the characteristics of graphics transform solution.First, the design equations, seeking angle Example 1 (Guangyuan volume in 2015) a set square as shown in Figure 1, and ∠1 greater than ∠2 50 ° .If set ∠1 x °, 越2 the more y °, then the available system of equations ()