if 32 degrees is less than three times its supplement, how large is the angle?
3(180-x)>32
540 - 3 x > 32
540 > 3 x + 32
3x < 508
x < 169 1/3
check
supplement = 10 2/3
3* supplement = 32 on the edge
if x <169 1/3 like 169
supplement = 11
3*supplement = 33
yes, 32 is less than 33
3.0 digree
To find the measure of the angle, we need to determine its supplement first. The supplement of an angle is the angle that, when added to the given angle, sums up to 180 degrees.
Let's assume the measure of the angle is "x" degrees. Therefore, the supplement of the angle would be 180 - x degrees.
The problem states that 32 degrees is less than three times the supplement of the angle. Mathematically, we can express this as:
32 degrees < 3 * (180 - x) degrees
To solve for x, we need to simplify and isolate it.
32 degrees < 540 degrees - 3x degrees
(add 3x degrees to both sides)
3x + 32 degrees < 540 degrees
(subtract 32 degrees from both sides)
3x < 508 degrees
(divide both sides by 3)
x < 169.33 degrees
Therefore, the angle is less than 169.33 degrees.