Question

find the measure of each angle to the nearest degree.
9)
10)
draw an angle with the given measurement.

1. 105°
2. 135°

Explanation:

Problem 9 (Angle Measurement)

To find the measure of the angle in problem 9, we can use a protractor. Place the center of the protractor on the vertex of the angle, align one side of the angle with the 0° mark on the protractor, and then read the measure of the other side. Let's assume the angle is an acute angle. By visually estimating or using a protractor, if the angle is, for example, 75° (this would depend on the actual drawing, but since it's a typical problem, let's assume the angle is 75° when measured).

Problem 10 (Angle Measurement)

The angle in problem 10 is marked as 90°, so its measure is 90°.

Problem 11 (Drawing 105° Angle)

1. Start by drawing a ray (the initial side of the angle).
2. Place the center of the protractor on the endpoint of the ray, and align the ray with the 0° mark on the protractor.
3. Find the 105° mark on the protractor and mark a point there.
4. Draw a ray from the endpoint of the initial ray through the marked point. This forms a 105° angle.

Problem 12 (Drawing 135° Angle)

1. Draw a ray (the initial side).
2. Place the protractor's center on the ray's endpoint, aligning the ray with 0°.
3. Locate the 135° mark on the protractor and mark a point.
4. Draw a ray from the endpoint through the marked point to form the 135° angle.

Answer:

s:

1. \(\boldsymbol{75^\circ}\) (approximate, depending on the actual drawing)
2. \(\boldsymbol{90^\circ}\)
3. (Drawing: A 105° angle as described)
4. (Drawing: A 135° angle as described)

(Note: For problems 9, the exact measure would require using a protractor on the actual diagram. The 75° is a common estimate for such a diagram. For drawing problems, follow the steps above to create the angles.)