Answer:
14)
x = 30°
y = 15°
z = 150°
15)
x = 10°
y = 25°
Step-by-step explanation:
14)
3x = 180 - 90
x = 30
2y = x = 30
y = 15
z = 180 - 2y = 180 - 30 = 150
15)
3x = 5x - 20 because they are alternate interior angles
subtract 5x from each side of the equation:
-2x = -20
Divide both sides by -2:
x = 10°
The sum of the interior angles of any triangle = 180°
2y + 4Y + (5x - 20) = 180°
combine like terms:
6y + 5x - 20 = 180°
add 20 to each side:
6y + 5x = 200°
substitute for x:
6y + 5(10) = 200°
subtract 50 from each side:
6y = 150°
divide both sides by 6:
y = 25°
