题目

What happened? The lizard had survived in such a position for 10 years! It has been in a dark wall partition(夹层) for 10 years without moving! Then he wondered how this lizard survived for 10 years without moving a single step---since its foot was nailed! So he stopped his work and observed the lizard: what has it been doing? What and how has it been eating? Later, he didn’t know from where another lizard appeared, with food in its mouth. Ah! He was astonished and touched deeply. The free lizard had been feeding the stuck one for the past 10 years… Such love, a beautiful love! 如图，等腰△BDC的顶点在等边三角形ABC的内部，∠BDC=90°，连接AD，过点D作一条直线将△ABD分割成两个等腰三角形，则分割出来的这两个等腰三角形的顶角度数分别是_____________.