Elias measured an angle he was given to be 81 degrees. He constructed a copy of this angle using a compass and straightedge. What is the measure of the copy of the angle he constructed?(1 point)
The measure of the copy of the angle Elias created is
degrees.
The measure of the copy of the angle that Elias constructed is also 81 degrees.
To construct a copy of an angle using a compass and straightedge, follow these steps:
1. Draw a line segment and label its endpoints as A and B.
2. Place the compass at point A and draw an arc that intersects the line segment.
3. Without changing the compass width, place the compass at point B and draw another arc that intersects the line segment.
4. Use the straightedge to draw a line connecting the two points where the arcs intersect the line segment.
5. Now, place the compass at the intersection of the line segment and the first arc and draw an arc that goes above the line segment.
6. Without changing the compass width, place the compass at the intersection of the line segment and the second arc and draw another arc above the line segment.
7. Use the straightedge to draw a line connecting the two points where the new arcs intersect the line segment.
8. The angle formed between the original line segment and the new line segment is the copy of the angle.
Since Elias measured the original angle to be 81 degrees, the copy of this angle will also have a measure of 81 degrees.