Question

The measures of adjacent angles of parallelogram are (3x - 4)° and (3x + 16)°. Find measures of all angles of the parallelogram. Give explanation​

Answer 1

Answer:

the measures are 80°,100°,80°,100°,

Step-by-step explanation:

sum of two adjacent angles of parallelogram= 180°

(3x - 4)° + (3x + 16)°.= 180°

6x+12= 180°

6x = 180-12= 168°

X = 168/6= 28

3x-4 = 3×28-4=84-4=80°

3x+16= 3×28+1684+16= 100°

opposite angles are equal in a parallelogram

the measures are 80°,100°,80°,100°,

Answer 2

Step-by-step explanation:

adjacent angles of parallelogram are (3x - 4)° and (3x + 16)°.

So,the sum of two adjacent angles are 180°

A/q (3x - 4)° + (3x + 16)° =180°

(3x+3x)+(-4°+16°)=180°

6x+12°=180°

6x=180°-12°

x=168°/6

x=28°

So, (3x - 4)°=(3×28-4)°=(84-4)°=80°

(3x + 16)°=(3×28+16)°=(84+16)° =100°

So, the measures are 80°,100°,80°,100°.

hope it'll helpful for u surely :)