One of two supplementary angles is 35 degrees more than twice the other. Find each angle.
3 answers
x + 2x+35 = 180
2x+35
x+(2x+35°) = 180°
work:
x+(2x+35°) = 180°
-35° -35°
x+2x = 145°
3x = 145°
____ _____
3 3
x = 48.3°
48.3° times 2 plus 35°
48.3° times 2 is 96.6°
96.6° plus 35° is 131.6°
So the angles are 131.6° and 48.3°. These two angles equal to 179.9999° or 180 degrees rounded.
work:
x+(2x+35°) = 180°
-35° -35°
x+2x = 145°
3x = 145°
____ _____
3 3
x = 48.3°
48.3° times 2 plus 35°
48.3° times 2 is 96.6°
96.6° plus 35° is 131.6°
So the angles are 131.6° and 48.3°. These two angles equal to 179.9999° or 180 degrees rounded.
1 answer