Question

Find the value of x

Please Help Me....!​

Answer 1

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

• $\rm\green{Angle\:1=2x}$
• $\rm\green{Angle\:2=(x+15°)}$

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

$\rm\purple{→The\:value\:of\:x.}$

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

As the above pair is a linear pair, so Angle 1+Angle 2=180°

$\rm\blue{→2x+(x+15°)=180°}$

$\rm\blue{→2x+x+15°=180°}$

$\rm\blue{→3x+15°=180°}$

$\rm\blue{→3x=180°-15°}$

$\rm\blue{→3x=165°}$

$\rm\blue{→x=\dfrac{\red{\cancel{\blue{165°}}}}{\red{\cancel{\blue{3}}}}}$

$\rm\blue{→x=55°}$

${\boxed{\boxed{\rm{\pink{→x=55°✔}}}}}$

☞ Hence the value of x is 55°, So option B) 55° is the correct answer.

HOPE IT HELPS.

Answer 2

${\huge{\underbrace{\rm{Answer\checkmark}}}}$

• $\rm{1^{st}\;angle=2x\degree}$
• $\rm{2^{nd}\;angle=(x+15)\degree}$

${\tt{As,\:AB\;is\;a\;straight\;line}}$

${\tt{so,}}$

${\tt{The\;sum\;of\;the\;two\;angles=180°}}$

$\angle1 + \angle2 = 180 \degree$

$\implies \rm \: (2x) \degree + (x + 15) \degree = 180 \degree$

$\implies \rm \: 2x + x + 15 = 180$

$\implies \rm \: 3x = 180 - 15$

$\implies \rm \: 3x = 165$

$\implies \rm \: x = 55$

$\tt \: so \: the \: angles \: would \: be$

$\mapsto\boxed{ \rm \angle1 = 2x = 2 \times 55 = 110 \degree}$

$\mapsto \boxed{ \rm \: x + 15 = 55 + 15 = 70 \degree}$

${\sf{Option~B~is~correct}}$