Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110°URGENT
Accepted Solution
A:
Answer: 70° and 110°
Given: Two opposite angle measures of a parallelograml: (6n − 70)° and (2n + 10)°.
Assuming that the parallelogram is a square, the opposite angles are equal to 180.
(6n − 70)° + (2n + 10)°=180
6n-70+2n+10=180
6n+2n=180-10+70
8n=240
n=240/8
n=30
(6n-70)=6(30)-70=180-70=110
(2n+10)=2(30)+10=60+10=70