[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Notes }}}[/tex]
✟ Now let ✟
- ➣Let these two parallel line be p and q
- ➣ and angle "x + 22" be a
- ➣ and angle "2x-13" be b
[tex] \rule{70mm}{2.9pt}[/tex]
[tex]\underline{ \boxed{ \sf{✰ \:Concept \: used }}}[/tex]
- ➣ Here given two lines are parallel and also know as transversel
- ➣ angle a and b are same side interior angle
- ➣ and given two angle are supplementary
- ➣ and sum of supplementary angle is of 180⁰
- ➣ soo the equation formed is a+b =180⁰
[tex] \rule{70mm}{2.9pt}[/tex]
★ Now let's solve according to concept
[tex]\qquad\rm{➛ \: x+ 22+2x-13 = 180 \degree}\\\qquad \rm{✮solving \: like \: terms✮} \\ \qquad\rm{➛ \: 3x + 9 = 180 \degree} \\ \qquad\rm{➛ \: 3x = 180 - 9} \\ \qquad\rm{➛ 3x = \: 171} \\ \qquad\rm{➛x = \frac{171}{3} } \\ \qquad\rm{➛ \: x = \frac{ \cancel{171}}{ \cancel3} } \\ \qquad\rm{➛ \: x = 57 \degree}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
★ More info ★
- ➣ Supplementary angle :- An angle that, when added to another referenced angle, produces an angle of 180 degrees.
- ➣Transversal :-A line which traverses or intersects any system of other lines transversely.
- ➣ Interior angles :- The inner angle between two sides
[tex] \rule{70mm}{2.9pt}[/tex]
✠ Hence ✠
[tex] { \boxed{✜\underline{ \boxed{ \sf{ x = 57\degree \green✓}}}✜}}[/tex]
[tex] \rule{70mm}{2.9pt}[/tex]
Hope it helps !
