Angle 1 and angle 2 are supplementary angles.
m∠1 = 4x+3
m∠2 = 3x−5
What is the value of x?
a.) x = 178
b.) x=178/7
c.) x=92/7
d.) x = 26
just recall that supplementary angles add to 180, so
4x+3 + 3x-5 = 180
Now just solve that for x.
To find the value of x, we need to set up an equation using the fact that Angle 1 and Angle 2 are supplementary angles, meaning that their sum is equal to 180 degrees.
So, we can set up the equation:
4x + 3 + 3x - 5 = 180
Combining like terms:
7x - 2 = 180
Next, isolate the variable by adding 2 to both sides:
7x = 182
Finally, divide both sides by 7 to solve for x:
x = 26
Therefore, the value of x is 26.
So, the correct answer is d.) x = 26.