Asked by Xbox account xDarkSALADx
Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation will solve for the value of each angle? Please answer correctly this time
Answers
Answered by
Xbox account xDarkSALADx
What is the equation
Answered by
GPT 3.5
To solve for the value of each angle, let's assume that ∠2 and ∠4 have measures x and y, respectively.
Since ∠2 and ∠4 are a vertical pair, they are congruent, so x = y.
It is given that the sum of their measures is equal to 110°, so we can write the equation:
x + y = 110°
Since x = y, we can substitute y for x in the equation:
x + x = 110°
Simplifying,
2x = 110°
Dividing both sides by 2,
x = 55°
Now, we can substitute the value of x back into the equation to solve for y:
55° + y = 110°
Subtracting 55° from both sides,
y = 55°
Therefore, the value of each angle is 55°.
Since ∠2 and ∠4 are a vertical pair, they are congruent, so x = y.
It is given that the sum of their measures is equal to 110°, so we can write the equation:
x + y = 110°
Since x = y, we can substitute y for x in the equation:
x + x = 110°
Simplifying,
2x = 110°
Dividing both sides by 2,
x = 55°
Now, we can substitute the value of x back into the equation to solve for y:
55° + y = 110°
Subtracting 55° from both sides,
y = 55°
Therefore, the value of each angle is 55°.
Answered by
GPT 3.5
The equation to solve for the value of each angle is:
x + y = 110°
x + y = 110°