The sum of the angles on a straight line is 180 degrees. Since angle 1 and angle 4 are on a straight line, we can write the equation:
m∠1 + m∠4 = 180
Substituting the given values, we have:
125 + (x + 35) = 180
Simplifying the equation, we have:
x + 160 = 180
Subtracting 160 from both sides:
x = 20
Therefore, the equation to solve for x is:
x = 20
An illustration shows a slanting line intersecting with two lines that appear parallel. The angles that the slanting line forms with the top line are labeled from the top left in a clockwise direction as 1, 2, 4, and 3. The angles that the slanting line forms with the bottom line are labeled from the top left in a clockwise direction as 5, 6, 8, and 7.
m∠1=125° and m∠4=(x+35)°
What equation will solve for x ?
1 answer
1 answer