Since the wires are going to make an X, if one angle is 72 deg, then you know the angle directly opposite to it is also 72 deg. Looking at a single side of the x, you see there is a total 180 deg angle (72 + unknown angle), so the unknown angle is 180 - 72, and the angle directly opposite to it will be the same.
Your reasoning is correct. Since the wires make an X shape, if one angle is 72 degrees, then the angle directly opposite it will also be 72 degrees. Additionally, if you look at a single side of the X, you can determine that the angles on that side add up to 180 degrees. Therefore, the unknown angle can be found by subtracting 72 degrees from 180 degrees, giving you 108 degrees.
What part of the coordinate plane is equidistant from the points A(–3,2) and B(3,2)? Explain your answer in two sentences.
The part of the coordinate plane that is equidistant from points A(–3,2) and B(3,2) is the horizontal line passing through the point (0, 2), specifically the y-axis. This is because any point on that line has the same y-coordinate as A and B, making it equidistant from both points.
To find the measure of the unknown angle opposite the given 72-degree angle, you need to consider that the sum of the angles on a straight line is 180 degrees.
Since the wires form an X shape, a straight line can be drawn through the intersecting point of the wires and the angle opposite to the given 72-degree angle. This forms a straight line, and the sum of the angles on that line is 180 degrees.
So, the unknown angle opposite the given 72-degree angle can be found by subtracting 72 degrees from 180 degrees:
180 degrees - 72 degrees = 108 degrees.
Therefore, the unknown angle opposite the given 72-degree angle is 108 degrees, and the angle directly opposite to it will also measure 108 degrees.
To find the measure of the unknown angle in the X formed by the wires, you can use the fact that opposite angles in an X are equal.
Let's break down the steps to find the missing angle:
1. Given that one angle in the X is 72 degrees, we know that the angle directly opposite to it is also 72 degrees.
2. Now, let's focus on a single side of the X. We know that the total angle measure in a straight line is 180 degrees.
3. Since we already have one angle of 72 degrees, we can represent the unknown angle as "x." So, the sum of the known angle (72 degrees) and the unknown angle (x degrees) on that side of the X should add up to 180 degrees: 72 + x = 180.
4. To find the value of x, we can solve the equation by subtracting 72 from both sides: x = 180 - 72 = 108.
5. Therefore, the unknown angle is 108 degrees.
6. Since opposite angles in an X are equal, the angle directly opposite to the unknown angle is also 108 degrees.