Question: m∠1=125° and m∠4=(x+35)° What equation will solve for x ?
To find the missing angle, we can use the fact that the sum of the measures of the angles in a straight line is 180 degrees.
In this case, angle 1 (m∠1) and angle 4 (m∠4) form a straight line:
m∠1 + m∠4 = 180
Substituting the given values:
125 + (x+35) = 180
Now, let's solve for x:
125 + x + 35 = 180
x + 160 = 180
x = 180 - 160
x = 20
Therefore, the equation that solves for x is 20.