If M<4=(3x)degrees and M<8=(x+40)degrees what is <4
To find the measure of angle <4, we can set up an equation based on the given information.
Given:
M<4 = (3x) degrees ... (1)
M<8 = (x + 40) degrees ... (2)
We want to find the value of x.
Since angles M<4 and M<8 are supplementary (they add up to 180 degrees), we can write the equation:
M<4 + M<8 = 180 degrees
Substituting the given angles from equations (1) and (2):
(3x) + (x + 40) = 180
Now, let's solve this equation to find the value of x:
Combine like terms:
4x + 40 = 180
Subtract 40 from both sides:
4x = 140
Divide by 4:
x = 35
Now that we have found the value of x, we can substitute it back into equation (1) to find the measure of angle <4:
M<4 = (3x) = (3 * 35) = 105 degrees
Therefore, angle <4 measures 105 degrees.