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Answer:

To construct the angles you mentioned, follow these steps:

1. Angle of -60 degrees:

Start by drawing a ray (line with an endpoint) and label it as AB.

Place the compass at point A and draw an arc that intersects the ray AB.

Without changing the compass width, place the compass at the intersection point and draw another arc that intersects the previous arc.

Label the intersection point of the two arcs as C.

Now, draw a line segment AC to complete the angle, labeling it as ∠BAC.

2. Angle of 105 degrees:

Draw a ray AB.

Place the compass at point A and draw an arc that intersects the ray AB.

Without changing the compass width, place the compass at point B and draw another arc that intersects the previous arc.

Label the intersection point of the two arcs as C.

Draw a line segment AC and label it as ∠BAC.

3. Angle of 85 degrees:

Repeat the same steps as above, but this time, open the compass wider to create a larger angle between the intersecting arcs.

4. Angle of 90 degrees:

Draw a line segment AB.

At point B, construct a perpendicular line using a compass and straightedge. Label the point of intersection between the perpendicular line and segment AB as C.

Label the angle formed at point B as ∠ABC.

5. Angle of 110 degrees:

Follow the same steps as for the 105 degrees angle, but open the compass wider to create a larger angle.

6. Angle of 45 degrees:

Draw a ray AB.

Place the compass at point A and draw an arc that intersects the ray AB.

Without changing the compass width, place the compass at the intersection point and draw another arc that intersects the previous arc.

Label the intersection point of the two arcs as C.

Draw a line segment AC and label it as ∠BAC.

7. Angle of 120 degrees:

Repeat the same steps as for the 105 degrees angle, but open the compass wider to create a larger angle.

Remember to use a protractor to measure the angles accurately if you have the exact measurements.

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Answer:

Answer:

To construct the angles you mentioned, follow these steps:

1. Angle of -60 degrees:

Start by drawing a ray (line with an endpoint) and label it as AB.

Place the compass at point A and draw an arc that intersects the ray AB.

Without changing the compass width, place the compass at the intersection point and draw another arc that intersects the previous arc.

Label the intersection point of the two arcs as C.

Now, draw a line segment AC to complete the angle, labeling it as ∠BAC.

2. Angle of 105 degrees:

Draw a ray AB.

Place the compass at point A and draw an arc that intersects the ray AB.

Without changing the compass width, place the compass at point B and draw another arc that intersects the previous arc.

Label the intersection point of the two arcs as C.

Draw a line segment AC and label it as ∠BAC.

3. Angle of 85 degrees:

Repeat the same steps as above, but this time, open the compass wider to create a larger angle between the intersecting arcs.

4. Angle of 90 degrees:

Draw a line segment AB.

At point B, construct a perpendicular line using a compass and straightedge. Label the point of intersection between the perpendicular line and segment AB as C.

Label the angle formed at point B as ∠ABC.

5. Angle of 110 degrees:

Follow the same steps as for the 105 degrees angle, but open the compass wider to create a larger angle.

6. Angle of 45 degrees:

Draw a ray AB.

Place the compass at point A and draw an arc that intersects the ray AB.

Without changing the compass width, place the compass at the intersection point and draw another arc that intersects the previous arc.

Label the intersection point of the two arcs as C.

Draw a line segment AC and label it as ∠BAC.

7. Angle of 120 degrees:

Repeat the same steps as for the 105 degrees angle, but open the compass wider to create a larger angle.

Remember to use a protractor to measure the angles accurately if you have the exact measurements.