To find the value of x, we need to set up an equation using the fact that vertical angles are congruent.
Vertical angles are formed when two lines intersect. In this case, angle 1 and angle 4 are vertical angles because they are formed by the slanting line intersecting with the top line.
Therefore, we have the equation:
m∠1 = m∠4
Substituting the given measurements:
125° = x + 35°
Now, we can solve for x by subtracting 35° from both sides of the equation:
125° - 35° = x
90° = x
So, the equation that will solve for x is:
x = 90
Solve Equations with Vertical Angles Practice
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Question
Use the image to answer the question.
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