Question

in the given figure, find the value of x and then calculate each angle​

Answer 1

Answer:

x= 60°

Step-by-step explanation:

ATQ-

In triangles -

Sum of all sides = 180°

x + x+5° + x -5° = 180°

3x + 0 = 180°

x= 180/3

x = 60°

x+5° (x = 60°)

60° + 5° = 65°

x-5° (x =60°)

60° - 5° = 55°

Answer 2

Solution

$\small\fbox\pink{Sum\:of\:all\:angles\:in\:a\:triangle=180°}$

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$\tt{⟼x + (x - 5) + (x + 5) = 180°}$

$\tt{⟼x + x - 5 + x + 5 = 180}$

$\tt{⟼3x - 5 + 5 = 180}$

$\tt{⟼cancel \: - 5 \: and \: + 5}$

$\tt{⟼3x = 180}$

$\tt{⟼x = \frac{180}{3} }$

$\tt{⟼x = 60°}$

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Therefore,

$\tt\bold{⟼x = 60°}$

$\tt\bold{⟼(x - 5) = (60 - 5) = 55°}$

$\tt\bold{⟼(x + 5) = (60 + 5) = 65°}$

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