Question

angle a + angle b + angle c= 180° if b= a+b and c= 2a find b​

Answer 1

Answer: ∠b= 90°

Step-by-step explanation:

NB: THERE IS A MISTAKE IN YOUR QUESTION, b = a +c is correct

∠a + ∠b + ∠c = 180°

⇒∠a + (∠a + ∠c )+ 2∠a = 180°          [since b= a+c]

⇒∠a + ∠a + 2∠a + 2∠a = 180°          [since c= 2a]

⇒6∠a = 180°

⇒∠a = 180°÷6

⇒∠a =30°

Now, c= 2a

     ⇒c = 2 × 30°

      ⇒∠c =  60°

ALSO, b= c + a

        ⇒b= 60° + 30°

         ⇒∠b= 90°

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Answer 2

Answer:

In the given question,

b = a + b

=> b - b = a

=> a = 0

An angle can never be 0°

Please check your question...

--------------------------------------------------------

The question must be c = a + b

if this is the case then,

given c = 2a

hence,

c = a + b

=> 2a = a + b

=> a = b

therefore if, angles,

a + b + c = 180

=> a + a + c = 180 ( as a = b )

=> 2a + c = 180

=> 2a + 2a = 180 ( as c = 2a)

=> 4a = 180

=> a = 45

now, a = b , hence both angle and b are 45°

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