如图,已知四边形ABCD中,∠C=∠D=90°,AE平分∠DAB,BE平分∠ABC,且E在D上.
(1)求∠AEB;
(2)求证:DE=CE.

(1)求∠AEB;
(2)求证:DE=CE.

如图,对于图中标记的各角,下列条件能够推理得到a∥b的是( )


A.∠1=∠4 | B.∠2=∠4 | C.∠3+∠2=∠4 | D.∠2+∠3+∠4=180° |
(2013•三明)如图,直线a∥b,三角板的直角顶点在直线a上,已知∠1=25°,则∠2的度数是( )


A.25° | B.55° | C.65° | D.155° |
(2015秋•丹江口市期末)如图,AD∥BC,∠C=30°,∠ADB:∠BDC=1:2,则∠ADB的度数是( )


A.60° | B.50° | C.45° | D.40° |