Solve Equations with Vertical Angles Practice

Complete this assessment to review what you've learned. It will not count toward your grade.

Two intersecting lines create four angles; 22 and 24 are a vertical pair. Their sum of their measures is equal to 110". What equation will solve for the value of each angle? (1 point)

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1 answer

The equation to solve for the value of each angle is:

22 + 24 = 110

46 = 110

This equation shows that the sum of the two angles is 46, not 110. Let's correct the equation:

22 + 24 + x + x = 360

Where x represents the measure of the other two angles formed by the intersecting lines.

Now, solve for x:

46 + 2x = 360
2x = 314
x = 157

Therefore, the measure of each angle is 157 degrees.