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look at the protractor on the right. find the measure of each angle 1. …

1. $90^\circ$ 2. $100^\circ$ 3. $20^\circ$ 4. $80^\circ$ 5. (Draw two rays meeting at a vertex with a 50° opening; example name: $\angle ABC$) 6. (Draw two rays meeting at a verte…

Kategorie: geometry Aktualisiert: 2026-01-30

Aufgabe

look at the protractor on the right. find the measure of each angle

  1. $\\angle koj$
  2. $\\angle koh$
  3. $\\angle goj$
  4. $\\angle goh$

draw and name each angle.

  1. $50^\\circ$
  2. $135^\\circ$

classify each angle. write acute, right, obtuse, or straight.
7.

  1. $135^\\circ$
  2. $180^\\circ$

draw each angle. then, name the angle.

  1. obtuse
  2. right
  3. acute
  4. straight

Lösungsschritte

  1. Understand the question

    look at the protractor on the right. find the measure of each angle

    1. $\\angle koj$
    2. $\\angle koh$
    3. $\\angle goj$
    4. $\\angle goh$

    draw and name each angle.

    1. $50^\\circ$
    2. $135^\\circ$

    classify each angle. write acute, right, obtuse, or straight.
    7.

    1. $135^\\circ$
    2. $180^\\circ$

    draw each angle. then, name the angle.

    1. obtuse
    2. right
    3. acute
    4. straight
  2. Explanation

    Step1: Read ∠KOI on protractor

    Ray OK aligns with 0° on the protractor, ray OI aligns with 90°. The angle is $90^\circ - 0^\circ = 90^\circ$.

    Step2: Read ∠KOH on protractor

    Ray OK aligns with 0°, ray OH aligns with 100°. The angle is $100^\circ - 0^\circ = 100^\circ$.

    Step3: Read ∠GOJ on protractor

    Ray OG aligns with 180°, ray OJ aligns with 160°. The angle is $180^\circ - 160^\circ = 20^\circ$.

    Step4: Read ∠GOH on protractor

    Ray OG aligns with 180°, ray OH aligns with 100°. The angle is $180^\circ - 100^\circ = 80^\circ$.

    Step5: Describe 50° angle drawing

    Draw 2 rays from a vertex, measure 50° between them. Name it, e.g., ∠ABC.

    Step6: Describe 135° angle drawing

    Draw 2 rays from a vertex, measure 135° between them. Name it, e.g., ∠DEF.

    Step7: Classify 90° angle

    90° angles are defined as right angles.

    Step8: Classify 135° angle

    135° is between 90° and 180°, so it is obtuse.

    Step9: Classify 180° angle

    180° angles are defined as straight angles.

    Step10: Describe obtuse angle drawing

    Draw 2 rays from a vertex, measure an angle between 90° and 180° (e.g., 120°). Name it, e.g., ∠GHI.

    Step11: Describe right angle drawing

    Draw 2 perpendicular rays from a vertex (90°). Name it, e.g., ∠JKL.

    Step12: Describe acute angle drawing

    Draw 2 rays from a vertex, measure an angle between 0° and 90° (e.g., 30°). Name it, e.g., ∠MNO.

    Step13: Describe straight angle drawing

    Draw 2 opposite rays from a vertex (180°). Name it, e.g., ∠PQR.

  3. Final answer
    1. $90^\circ$
    2. $100^\circ$
    3. $20^\circ$
    4. $80^\circ$
    5. (Draw two rays meeting at a vertex with a 50° opening; example name: $\angle ABC$)
    6. (Draw two rays meeting at a vertex with a 135° opening; example name: $\angle DEF$)
    7. right
    8. obtuse
    9. straight
    10. (Draw an angle between 90° and 180°, e.g., 120°; example name: $\angle GHI$)
    11. (Draw a 90° angle; example name: $\angle JKL$)
    12. (Draw an angle between 0° and 90°, e.g., 30°; example name: $\angle MNO$)
    13. (Draw a 180° straight angle; example name: $\angle PQR$)

Antwort

Explanation

Step1: Read ∠KOI on protractor

Ray OK aligns with 0° on the protractor, ray OI aligns with 90°. The angle is $90^\circ - 0^\circ = 90^\circ$.

Step2: Read ∠KOH on protractor

Ray OK aligns with 0°, ray OH aligns with 100°. The angle is $100^\circ - 0^\circ = 100^\circ$.

Step3: Read ∠GOJ on protractor

Ray OG aligns with 180°, ray OJ aligns with 160°. The angle is $180^\circ - 160^\circ = 20^\circ$.

Step4: Read ∠GOH on protractor

Ray OG aligns with 180°, ray OH aligns with 100°. The angle is $180^\circ - 100^\circ = 80^\circ$.

Step5: Describe 50° angle drawing

Draw 2 rays from a vertex, measure 50° between them. Name it, e.g., ∠ABC.

Step6: Describe 135° angle drawing

Draw 2 rays from a vertex, measure 135° between them. Name it, e.g., ∠DEF.

Step7: Classify 90° angle

90° angles are defined as right angles.

Step8: Classify 135° angle

135° is between 90° and 180°, so it is obtuse.

Step9: Classify 180° angle

180° angles are defined as straight angles.

Step10: Describe obtuse angle drawing

Draw 2 rays from a vertex, measure an angle between 90° and 180° (e.g., 120°). Name it, e.g., ∠GHI.

Step11: Describe right angle drawing

Draw 2 perpendicular rays from a vertex (90°). Name it, e.g., ∠JKL.

Step12: Describe acute angle drawing

Draw 2 rays from a vertex, measure an angle between 0° and 90° (e.g., 30°). Name it, e.g., ∠MNO.

Step13: Describe straight angle drawing

Draw 2 opposite rays from a vertex (180°). Name it, e.g., ∠PQR.

Answer

  1. $90^\circ$
  2. $100^\circ$
  3. $20^\circ$
  4. $80^\circ$
  5. (Draw two rays meeting at a vertex with a 50° opening; example name: $\angle ABC$)
  6. (Draw two rays meeting at a vertex with a 135° opening; example name: $\angle DEF$)
  7. right
  8. obtuse
  9. straight
  10. (Draw an angle between 90° and 180°, e.g., 120°; example name: $\angle GHI$)
  11. (Draw a 90° angle; example name: $\angle JKL$)
  12. (Draw an angle between 0° and 90°, e.g., 30°; example name: $\angle MNO$)
  13. (Draw a 180° straight angle; example name: $\angle PQR$)

Question Image

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Question Analysis

Subject mathematics
Sub Subject geometry
Education Level middle school
Difficulty unspecified
Question Type with image
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-01-30T18:49:11

OCR Text

Show OCR extraction
look at the protractor on the right. find the measure of each angle
1. $\\angle koj$
2. $\\angle koh$
3. $\\angle goj$
4. $\\angle goh$
draw and name each angle.
5. $50^\\circ$
6. $135^\\circ$
classify each angle. write acute, right, obtuse, or straight.
7.
8. $135^\\circ$
9. $180^\\circ$
draw each angle. then, name the angle.
10. obtuse
11. right
12. acute
13. straight

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