Question

if (3x+2) and (3x+2) are supplementary angles find value of x​

Answer 1

AnsweR :

$\sf \: sum \: of \: supplementary \: angles \: = \: 180 \degree$

$\sf(3x + 2) + (3x + 2) = 180 \degree \\ \\ \sf = 3x + 2 + 3x + 2 = 180 \degree \\ \\ \sf3x + 3x + 2 + 2 = 180 \degree \\ \\ \sf = 6x + 4 = 180 \degree \\ \\ \sf = 6x = 180 - 4 = 176 \\ \\ \sf \: x = \frac{ \cancel{176}}{ \cancel6} = 29.3$