Question

If (x + 8)⁰ and (2x - 5)⁰ are adjacent angles and forming a linear pair, then the value of x is​

Answer 1

Given : (x + 8)° and (2x - 5)° are the adjacent angles forming a linear pair.

To Find : Value of x

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As we know that :

• Sum of adjacent angles is 180°.

So,

(x + 8)° + (2x - 5)° = 180°

$\: \:$

Now,

$\:$

$\tt:\implies \: (x + 8)\degree \: + (2x - 5)\degree = 180\degree \\ \\ \\ \tt:\implies \: x + 8 + 2x - 5 = 180 \\ \\ \\ \tt:\implies \: x + 2x + 8 - 5 = 180 \\ \\ \\ \tt:\implies \: 3x + 3 = 180 \\ \\ \\ \tt:\implies \: 3x = 180 - 3 \\ \\ \\ \tt:\implies \: 3x = 177 \\ \\ \\ \tt:\implies \: x = \cancel \frac{117}{3} \\ \\ \\ \tt:\implies \: x = \underline{\boxed{\sf\purple{59}}}\bigstar \\ \\ \\ \\ \sf\therefore{\underline{Hence, \: the \: value \: of \: x \: is \: \bold{59}.}}$

Answer 2

$\sf{\underline{\underline{\large{Question}}}}$

If (x + 8)⁰ and (2x - 5)⁰ are adjacent angles and forming a linear pair, then the value of x is

${\sf{\large{\underline{\underline{Given}}}}}$

• adjacent angles
• angles - (x + 8)⁰ and (2x - 5)⁰

${\sf{\large{\underline{\underline{to \: find}}}}}$

• value of x

${\sf{\large{\underline{\underline{solution}}}}}$

$\sf { \underline\color{green}{We \: Know \: That } }\\ \sf \to\color{blue}{sum \: of \: adjacent \: angle \: is \: 180 \degree}$

So,

$\sf{\implies(x + 8)⁰ + (2x - 5)⁰ = 180 \degree} \\ \\ \sf{ \implies3x + 3 = 180 \degree} \\ \\ \sf{ \implies \: 3x = 177} \\ \\ \sf{ \implies \: x = \frac{177}{3} } \\ \\ \sf{ \implies \: x = 59 \degree}$

So the value of x is 59°.

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