Question

In ABC,<A+<B=60 and <B+<C=140. Then <B=?​

Answer 1

Answer:

A+B=60.......

B+C=140.......

A+B=B+C

A=B......1eq

A+B=60(a=B)

A+A=60

2×A=60

a=60÷2

a=30

a=b=30

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Answer 2

Answer:

20°

Step-by-step explanation:

∠A+∠B=60°---------eq 1

∠B+∠C=140°--------eq2

∠A+∠B+∠C=180°--eq3

∠C=180°-(∠A+∠B)-------substitute in eq2

∠B+180°-∠A-∠B=140°

180°-∠A=140°

∠A=40°substitute in eq 1

40°+∠B=60°

∠B=20°