the supplement of an angle is 15 degree less than twice the angle.find the measure of the angle and its supplement.
Follow similar steps I used in your previous post.
Make sure you use the definition of supplement of an angle.
To solve this problem, we need to set up an equation based on the given information. Let's denote the angle as "x."
According to the problem statement, the supplement of the angle (180 degrees minus the angle) is 15 degrees less than twice the angle.
The equation for this can be written as:
180 - x = 2x - 15
Now, we can solve this equation to find the measure of the angle.
Simplifying the equation:
180 - x = 2x - 15
Combine like terms:
180 + 15 = 2x + x
195 = 3x
Dividing both sides by 3 to isolate x:
195 / 3 = x
x = 65
So, the measure of the angle is 65 degrees.
To find the supplement of the angle, we can substitute the value of x into the expression 180 - x:
Supplement = 180 - x
Supplement = 180 - 65
Supplement = 115
Therefore, the measure of the angle is 65 degrees, and its supplement is 115 degrees.