Question

The value of x in the given triangle is ----- *

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Answer 1

Answer:

x = 60°

Step-by-step explanation:

x+x+20+x-20= 180

3x = 180

x= 60°

Answer 2

$\huge\bold\color{red}{†GiveN†}$

• $\bold{\angle \: ABC = x + 20}$
• $\bold{\angle \: BCA = x - 20}$
• $\bold{ \angle \: CAB = x}$

$\huge\bold\color{red}{†To \:FinD†}$

• Value of x

$\huge\bold\color{red}{†SolutioN†}$

Sum of all angles of triangle = 180 °

$\bold{ \implies \: \: x + x + 20 + x - 20 = 180 }$

$\bold{ \implies \: x + x + x + 20 - 20 = 180}$

$\bold{ \implies \: 3x = 180}$

$\bold{ \implies \: x = \frac{180}{3} }$

$\bold{ \implies \:x = 60 }$

${ \boxed{∵x = 60}}$

By putting the value of x

$\bold{ \angle \: ABC \: = x + 20} \\ \\ \bold{ = 60 + 20} \\ \\ \bold{= 80° }$

$\bold{ \angle \: BCA = x - 20} \\ \\ \bold{ = 60 - 20 } \\ \\ \bold{ = 40°}$

$\bold{ \angle \: CAB = x } \\ \\ \bold{ = 60° }$