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Bas_tet [7]
2 years ago
13

Solve for x????????????????????

Mathematics
1 answer:
12345 [234]2 years ago
5 0

\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }

\large\underline{  \boxed{ \sf{✰\: Concept }}}

  • ➣ Given two paris are linear pairs
  • ➣ We know that sum of linear pairs is equal to 180⁰
  • ➣ Linear :- Having the form of a line; straight or roughly straight; following a direct course.

\large\underline{  \boxed{ \sf{✛\: Assumptions\:✛ }}}

  • ➣ let given two angles be p and q that is
  • ➣ angle p is 3x-4
  • ➣ angle q is 3x-8
  • ➣ we have to find "x" in the given expressions

\large\underline{  \boxed{ \sf{✰\: let's\:solve }}}

\rm\angle \: p +  \angle \: q = 180 \degree \\

★ Substituting values

\rm { \pink➾ \:( 3x  - 4) + (3x - 8) = 180} \\ \rm { \pink➾}arranging \: and \: solving \: like \: terms \\ \rm { \pink➾ \: 3x + 3x - 4 - 8 = 180} \\ \rm { \pink➾ \: 6x - 12 = 180} \\ \rm  { \pink➾6x = 180  + 12}

\qquad \qquad\rm { \pink➾6x  = 192} \\ \qquad\qquad\rm { \pink➾ \: x =  \frac{ \cancel{192}}{ \cancel6} } \\ \qquad\qquad\rm { \pink➾x = 32}

★ Hence the value

\boxed{↪\underline{  \boxed{ \rm{\: x = 32\green✓}}}↩}

\rule{70mm}{2.9pt}

Hope it helps !

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