#1. <1=<ABC=50°
<BCA=180°-134°=46°
<A=180°-(50°+46°)=64°
#2. 2x+5x+8x=180°
15x=180°
x=180°:15
x=12°
Наименьший угол 12°×2=24°
#3. <OAB=50°÷2=25
<OBA=60°÷2=30°
<AOB=180°-(30°+25°)=125°
#4. <BCA=180°-140°=40°
3x+4x+40°=180°
7x+40°=180°
7x=180°-40°
7x=140°
x=140°÷7
x=20°
<A=3×20°=60°
<B=4×20°=80°
<C=40°
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Answers & Comments
#1. <1=<ABC=50°
<BCA=180°-134°=46°
<A=180°-(50°+46°)=64°
#2. 2x+5x+8x=180°
15x=180°
x=180°:15
x=12°
Наименьший угол 12°×2=24°
#3. <OAB=50°÷2=25
<OBA=60°÷2=30°
<AOB=180°-(30°+25°)=125°
#4. <BCA=180°-140°=40°
3x+4x+40°=180°
7x+40°=180°
7x=180°-40°
7x=140°
x=140°÷7
x=20°
<A=3×20°=60°
<B=4×20°=80°
<C=40°