Answer:
[tex] m\angle A = 72\degree \\
m\angle B = 108\degree [/tex]
Step-by-step explanation:
ABCD is a parallelogram.
Since, opposite angles of a parallelogram are congruent.
[tex] \therefore m\angle A = m\angle C\\
\therefore (5y-3)\degree = (3y+27)\degree \\
\therefore 5y - 3= 3y +27\\
\therefore 5y-3y = 27+3\\
\therefore 2y = 30\\\\
\therefore y = \frac{30}{2} \\\\
\therefore y = 15\\
\because m\angle A = (5y-3)\degree \\
\therefore m\angle A = (5\times 15-3)\degree \\
\therefore m\angle A = (75-3)\degree \\
\huge{\red {\boxed {\therefore m\angle A = 72\degree}}} \\\\
\because m\angle A + m\angle B = 180\degree(opposite \: \angle 's\: of\:a\: \parallel ^{gm}) \\
\therefore m\angle B = 180\degree - 72\degree \\
\huge{\purple {\boxed {\therefore m\angle B = 108\degree}}} [/tex]
