Question

If (2x+18) and (2x-8) are supplementary angles then find x

Answer 1

Step-by-step explanation:

according to question

(2x+18)+(2x-8)= 180

2x+18+2x-8= 180

4x+10= 180

4x=170

x=170/4

x=42.5

Answer 2

Step-by-step explanation:

$\blue{ \bf{ \underline {QUESTION : - }}}$

If (2x+18) and (2x-8) are supplementary angles then find x

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$\boxed{ \huge{ \bold{Given}}}$

• Angle 1 is (2x+18)

• Angle 2 is (2x-8)

$\boxed{ \huge{ \bold{to \: find}}}$

• Value of X

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

The Angles Are supplementary

SO,

${\implies{ \large{ \sf{(2x + 18) + (2x - 8) = 180}}}}$

Remove Barakat

${\implies{ \large{ \sf{ 2x + 18 + 2x - 8 = 180}}}}$

${\implies{ \large{ \sf{4x + 10 = 180}}}}$

${\implies{ \large{ \sf{4x = 180 - 10}}}}$

${\implies{ \large{ \sf{4x = 170}}}}$

${\implies{ \large{ \sf{x = \frac{170}{4}}}}}$

⟾ Ｘ = ４２.５

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