Question

find the value of X ​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$\huge\rm{\underline{\underline{Given→}}}$

• $\rm\green{Angle\:1=30°}$
• $\rm\green{Angle\:2=2x-10°}$
• $\rm\green{Angle\:3=x+10°}$
• $\rm\green{Angle\:4=15°}$

$\huge\rm{\underline{\underline{To\:Find→}}}$

$\rm\purple{→The\:value\:of\:x}$

$\huge\rm{\underline{\underline{Answer→}}}$

As all the above angles are in a straight line and forming linear pairs, so→

Angle(1+2+3+4)=180°

$\rm\blue{→Angel(1+2+3+4)=180°}$

$\rm\blue{→30°+2x-10°+x+10°+15°=180°}$

$\rm\blue{→3x+45°{\red{\cancel{\blue{-10°}}}}{\red{\cancel{\blue{+10°}}}}=180°}$

$\rm\blue{→3x=180°-45°}$

$\rm\blue{→3x=135°}$

$\rm\blue{→x=\dfrac{135°}{3}}$

$\rm\blue{→x=\dfrac{\red{\cancel{\blue{135°}}}}{\red{\cancel{\blue{3}}}}}$

$\rm\blue{→x=45°}$

${\boxed{\boxed{\rm{\pink{→x=45°✔}}}}}$

☞ Hence the value of x is 45° which is the required answer.

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