I need help on this question...please help.
"The measures of two supplementary angles are 3x-12 and 4x-18.Find the measures of the angles.
what is the definition of supplementary angles ?
Supplementary is when angles add up to 180 degrees
To find the measures of the two supplementary angles, you need to set up an equation using the fact that the sum of the measures of supplementary angles is 180 degrees.
Let's assume that the measure of the first angle is represented by 3x-12, and the measure of the second angle is represented by 4x-18.
According to the problem, the sum of these two angles is equal to 180 degrees:
(3x-12) + (4x-18) = 180
To solve this equation, you can combine like terms and solve for x:
3x + 4x - 12 - 18 = 180
7x - 30 = 180
Add 30 to both sides of the equation:
7x = 210
Divide both sides of the equation by 7:
x = 30
Now that you have the value of x, you can substitute it back into the expressions for the angles to find their measures:
First angle:
3x-12 = 3(30)-12 = 90-12 = 78 degrees
Second angle:
4x-18 = 4(30)-18 = 120-18 = 102 degrees
Therefore, the measures of the two angles are 78 degrees and 102 degrees.