Question

Ребят помогите Надо решить если можно все!SOS

Answer 1

1)∠A=2∠B
∠C=∠A+10°=2∠B+10°
∠A+∠B+∠C=180°
2∠B+∠B+2∠B+10°=180°
5∠B=170°
∠B=34° ⇒  ∠A=2∠B=2*34°=68°  ⇒ ∠C=∠A+10°=68°+10°=78°

2)∠A:∠B:∠C=2:3:4⇒  ∠A=2α, ∠B=3α, ∠C=4α
∠A+∠B+∠C=180°
2α+3α+4α=180°
9α=180°
α=20°   ⇒   ∠A=2α=2*20=40°, ∠B=3α=3*20=60°, ∠C=4α=4*20=80°

3) ∠A=1,5∠B, AB=BC⇒ ∠C=∠A=1,5∠B
∠A+∠B+∠C=180°
1,5∠B+∠B+1,5∠B=180°
4∠B=180°
∠B=45° ⇒  ∠C=∠A=1,5∠B=1,5*45=67,5°

4)∠ABD=∠DBC
AD=DB  ⇒  ∠A=∠ABD=∠DBC
∠C=2∠A=2∠ABD
∠B=∠ABD+∠DBC=2∠ABD
∠A+∠B+∠C=180°
∠ABD+2∠ABD+2∠ABD=180°
5∠ABD=180°
∠ABD=36°   ⇒∠C=∠B=2∠ABD=2*36=72°
∠A=∠ABD=36°

5)∠BCD=80°⇒ ∠BCA=180°-80°=100°
∠A=0,6∠B
∠A+∠B+∠C=180°
0,6∠B+∠B+100°=180°
1,6∠B=80°
∠B=50°, ∠A=0,6∠B=0,6*50=30°

Answer 2

бро огромное спс

Answer 3

ПОЖ)))

Answer 4

поги еше