Question

A,B,C are the three angles of a triangle. if A+B=145 and B+C=100 then angles A,B,C are
1.80,65,35
2.80,35,65
3.65,80,35
4.35,65,80
explain​

Answer 1

Step-by-step explanation:

A+B+C=180

A+100=180

A=80

A+B+C=180

145+C=180

C=180-145

C=35

A+B+C=180

80+B+35=180

B=180-115

B=65

Answer 2

AnswEr :

◉ Sum of All Angles of Triangle is 180°

➟ A + B + C = 180°

➟ 145° + C = 180° [ A + B = 145° ]

➟ C = 180° - 145°

➟ C = 35°

━━━━━━━━━━━━━━━━━━━━━━━━

➟ A + B + C = 180°

➟ A + 100° = 180° [ B + C = 100° ]

➟ A = 180° - 100°

➟ A = 80°

━━━━━━━━━━━━━━━━━━━━━━━━

➟ A + B + C = 180°

➟ 80° + B + 35° = 180°

▣ [ A = 80° and, C = 35° ]

➟ B = 180° - 115°

➟ B = 65°

━━━━━━━━━━━━━━━━━━━━━━━━

$\large\therefore$ Option [ 1 ] is Correct ; 80° , 65° and, 35°.