To solve this problem, we need to understand how to draw specific angles using a protractor. The worksheet asks us to "complete the angle shown" for six different measurements.
Here is the step-by-step logic for drawing each angle:
1.
Identify the Starting Line: In all six problems, there is a horizontal black line pointing to the right. This represents $0^\circ$. The vertex (the corner point) is in the center of the circle.
2.
Use the Protractor Scale: We measure counter-clockwise from the right-hand side ($0^\circ$).
* $90^\circ$ is straight up.
* $180^\circ$ is straight to the left.
* Angles less than $90^\circ$ are acute (sharp).
* Angles between $90^\circ$ and $180^\circ$ are obtuse (wide).
3.
Draw the Second Ray: For each number given, we find that degree mark on the circle and draw a red line from the center vertex to that mark.
Step-by-Step Verification:
*
Problem 1: $55^\circ$
* This is an acute angle. It should be a bit more than half way to $90^\circ$ (straight up).
* Looking at the solution, the red line is drawn in the upper-right quadrant, correctly representing an angle slightly larger than $45^\circ$.
*
Problem 2: $115^\circ$
* This is an obtuse angle. It is past $90^\circ$ (straight up) but not yet to $180^\circ$ (straight left).
* $115^\circ$ is $25^\circ$ past vertical. The red line is drawn in the upper-left quadrant, which is correct.
*
Problem 3: $180^\circ$
* This is a straight angle. It forms a straight line.
* The red line extends directly to the left, opposite the starting black line. This creates a flat line across the center. This is correct.
*
Problem 4: $155^\circ$
* This is a wide obtuse angle. It is close to $180^\circ$ (flat) but still has a small gap.
* $155^\circ$ is $25^\circ$ away from being flat. The red line is drawn in the upper-left quadrant, very close to the horizontal line on the left. This is correct.
*
Problem 5: $10^\circ$
* This is a very small acute angle. It should be very close to the starting black line.
* The red line is drawn just slightly above the black line on the right. This is correct.
*
Problem 6: $70^\circ$
* This is an acute angle, close to $90^\circ$ (vertical).
* $70^\circ$ is $20^\circ$ shy of vertical. The red line is drawn in the upper-right quadrant, steep enough to look like it's approaching vertical. This is correct.
The image provided is actually the
Answer Key, meaning the red lines shown are the correct solutions to the problems. The task is effectively already solved by the key itself.
Final Answer:
The image displays the correct solutions for creating the following angles:
1)
55°: An acute angle drawn in the first quadrant.
2)
115°: An obtuse angle drawn in the second quadrant.
3)
180°: A straight angle forming a horizontal line.
4)
155°: A wide obtuse angle drawn in the second quadrant, close to the horizontal axis.
5)
10°: A narrow acute angle drawn just above the initial ray.
6)
70°: An acute angle drawn in the first quadrant, close to the vertical axis.
Parent Tip: Review the logic above to help your child master the concept of construction of angles in geometry worksheet for practice.
