1.连结AD并延长至E
∵∠BDE=∠ABD+∠BAD,∠CDE=∠ACD+∠CAD
∴∠BDC=∠A+∠ABD+∠ACD
2.∠D=180°-1/2(∠ABC+∠ACB)=180°-1/2(180°-∠A)=180°-90°+1/2∠A=1/2∠A+90°
1.连结AD并延长至E
∵∠BDE=∠ABD+∠BAD,∠CDE=∠ACD+∠CAD
∴∠BDC=∠A+∠ABD+∠ACD
2.∠D=180°-1/2(∠ABC+∠ACB)=180°-1/2(180°-∠A)=180°-90°+1/2∠A=1/2∠A+90°