Question

please help me solve this problem.​

Answer 1

OPPOSITE angles of parallelogram are equal

(3x + 12)°=(2x + 52)°

or,3x-2x= 52-12

or,x = 40°

sum of all angles of parallelogram=360°

if 2 angles of parallelogram=40°

that means {360-(40+40)}=280°

as we know that opposite angles equal,

then 2angles =280°

each angle=280/2=140°

so,

1st angle=40

2nd angle=40

3rd =140

4th=140 and these are 4 angles of parallelogram

Answer 2

Answer:

Angles are 81·6°, 98·4°, 81·6° and 98·4°

Step-by-step explanation: Since opposite angles of a ║gm are supplementary

∴ (3x+12)° + (2x+52)° = 180°

⇒ (3x + 12 + 2x + 52)° = 180°

⇒ (5x + 64)° = 180°

⇒ 5x = 180° - 64°

⇒ 5x = 116

⇒ x =$\frac{116}{5}$

⇒ x = 23·2

Now,

put  x = 23·2 in

(3x+12)° and (2x+52)°

⇒ 3(23·2) + 12   and   2(23·2) + 52

⇒ 81·6°   and   98·4°

∴ Angles are 81·6°, 98·4°, 81·6° and 98·4°