Question

if measure of two co-interior angles are (2x - 30°) and (3x + 40°) find x​

Answer 1

Answer:

Here's your answer.

Hope this helps you :)

Answer 2

$\huge\underline\mathfrak\purple{Question} -$

If measures of two co-interior angles are (2x-30)° and (3x+40)°, find x.

$\huge\underline\mathfrak\pink{Answer} -$

$\bold\orange {{\fbox\green{\tt{sum\:of\:cointerior\:∠\:=\:180°}}}}$

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So here,

$(2x-30)+(3x+40)=180° \\ \\ \implies2x - 30 + 3x + 40 = 180 \\ \implies3x + 2x + 40 - 30 = 180 \\ \implies5x + 10 = 180$

• transposing terms to get the value of x we get,

$5x + 10 = 180 \\ \implies5x = 180 - 10 \\ \implies5x = 170 \\ \implies\:x = \frac{170}{5} \\ \implies\boxed{x = 34°}$

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$\bold\orange {{\fbox\red{\tt{ \: Verification \: }}}}$

• To verify x's value, we just need to put the value of x in 1st equation, i.e –

→ RHS = 180°

→ LHS =

$(2x - 30) + (3x + 40) \\ \implies2(34)-30+3(34)+40 \\ \implies68 - 30 + 102 + 40 \\ \implies210 - 30 \\ \implies180°$

Hence verified, LHS = RHS

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⠀⠀⠀✨HOPE IT HELPS✨