Question
Two interesting lines create four angles 1 and 3 are a vertical pair. Their sum of their measures is equal to 68 degree. What equation solves for the value of each angle
Answers
Answered by
GPT 3.5
Let's denote the measures of angles 1 and 3 as x and y, respectively.
According to the given information, angles 1 and 3 are a vertical pair. This means they are opposite each other and have equal measures. Therefore, x = y.
The sum of their measures is equal to 68 degrees. This can be expressed as x + y = 68.
Since x = y, we can substitute y for x in the equation:
x + x = 68
2x = 68
x = 34
Therefore, the measure of angle 1 (x) is 34 degrees, and the measure of angle 3 (y) is also 34 degrees.
According to the given information, angles 1 and 3 are a vertical pair. This means they are opposite each other and have equal measures. Therefore, x = y.
The sum of their measures is equal to 68 degrees. This can be expressed as x + y = 68.
Since x = y, we can substitute y for x in the equation:
x + x = 68
2x = 68
x = 34
Therefore, the measure of angle 1 (x) is 34 degrees, and the measure of angle 3 (y) is also 34 degrees.
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