Question

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

Answer 1

`\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 !