Answer:
1st pic:
x = 61
left angle = 125 degrees
right angle = 55 degrees
2nd pic:
n = 14
left angle = 78 degrees
right angle = 102 degrees
Explanation:
1st pic:
use the following equation ⇒ 2x + 3 + x - 6 = 180
combine like terms ⇒ 3x - 3 = 180
add 6 on both sides ⇒ 3x - 3 + 3 = 180 + 3 ⇒ 3x = 183
divide both sides by 3 ⇒
x = 61
solve the angles by subtituting 61 for x
left angle = 2x + 3 ⇒ 2 x 61 + 3 ⇒ 125 degrees
right angle = x - 6 ⇒ 61 - 6 ⇒ 55 degrees
2nd pic:
use the following equation ⇒ 4n + 22 + 8n - 10 = 180
combine like terms ⇒ 12n + 12= 180
subtract 12 on both sides ⇒ 12n + 12 - 12 = 180 - 12 ⇒ 12n = 168
divide both sides by 12 ⇒
n = 14
you can find the angles by substituting 14 for n:
left angle = 4n + 22 ⇒ 4 x 14 + 22 =78 degrees
right angle: 8n - 10 ⇒ 8 x 14 - 10 = 102 degrees