Question

如图,在四边形ABCD中,∠B和∠D的两边对应垂直,且∠B=1\2∠D,求∠B,∠D的度数

Answer 1

∵BA⊥AD,BC⊥DC

∴∠A=∠C=90°

∴∠B+∠D=360°-(∠A+∠C)=360°-(90°+90°)=180°

∵∠B=1/2∠D

即∠D=2∠B

∴2∠B+∠B=180°

∠B=60°

∴∠D=2∠B=120°