Question 271031
In a parallelogram adjacent angles are supplementary. From above we have
(i) {{{3x +  2y + 7 = 180}}}
(ii) {{{2y + 7 + 63 = 180}}}
we can solve for y in (ii) as
(iii) {{{2y + 70 = 180}}}
then
(iv) {{{2y = 110}}}
dividing, we get
(v) {{{y = 55}}}
Now we can solve for x in (i) as
(vi) {{{3x + 2(55) + 7  = 180}}}
combine like terms to get
(vii) {{{3x + 117  =180}}}
subtract to get
(viii) {{{3x = 63}}}
and divide to get
(ix) {{{x = 21}}}