Geometry Name AII rig hL reser ved. Kuta Sofiware LLC. 2019 Assignment Date O29/ Find the measure of each angle indicated. 1) 15 145 35 35° 2) 80 50° 40° 65

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**Geometry Assignment**

© 2019 Kuta Software LLC. All rights reserved.

---

**Assignment**

**Name: [Blank Line]**

**ID: 1**

**Date: 06/29/21**

**Period: 1**

---

### Find the measure of each angle indicated.

1) 
   - Given angles: 115°, 35°
   - Missing angle: \[ (180° - (115° + 35°)) = 30° \]

2)
   - Given angles: 50°, 40°
   - Missing angle: ?

### Solve for x.

3)
   - Triangle with angles: 66°, 40°
   - Expression for the third angle: \(5x + 19\)

4)
   - Triangle with given angle: 70°
   - Expression for the second angle: \(x + 26\)

5)
   - Triangle with angles: 61°, 70°
   - Expression for the third angle: \(6 + 4x\)

6)
   - Triangle with given angles: 75°, 70°
   - Expression for the third angle: \(x + 46\)

7)
   - Right triangle with given angle: 40°
   - Expression for the second angle: \(56 + x\)

8)
   - Triangle with angles: 70°, 35°
   - Expression for the third angle: \(26x - 3\)

9)
   - Triangle with angles: 70°, 19x
   - Expression for the third angle: 53°

10)
    - Triangle with given angles: 56°, 75°
    - Expression for the third angle: \(6x + 1\)

11)
    - Triangle with given angle: 53°
    - Expression for the second angle: \(12x - 5\)
    - The third angle: 48°

---

**Explanation of Diagrams:**

1) The diagram shows a triangle with one angle labeled as 115° and another as 35°. The third angle is calculated to be 30°.

The remaining questions feature triangles with given angles and algebraic expressions representing the unknown angles. The task is to solve for x using the information provided, adhering to the principle that the sum of the interior angles in any triangle is always 180°.
Transcribed Image Text:**Geometry Assignment** © 2019 Kuta Software LLC. All rights reserved. --- **Assignment** **Name: [Blank Line]** **ID: 1** **Date: 06/29/21** **Period: 1** --- ### Find the measure of each angle indicated. 1) - Given angles: 115°, 35° - Missing angle: \[ (180° - (115° + 35°)) = 30° \] 2) - Given angles: 50°, 40° - Missing angle: ? ### Solve for x. 3) - Triangle with angles: 66°, 40° - Expression for the third angle: \(5x + 19\) 4) - Triangle with given angle: 70° - Expression for the second angle: \(x + 26\) 5) - Triangle with angles: 61°, 70° - Expression for the third angle: \(6 + 4x\) 6) - Triangle with given angles: 75°, 70° - Expression for the third angle: \(x + 46\) 7) - Right triangle with given angle: 40° - Expression for the second angle: \(56 + x\) 8) - Triangle with angles: 70°, 35° - Expression for the third angle: \(26x - 3\) 9) - Triangle with angles: 70°, 19x - Expression for the third angle: 53° 10) - Triangle with given angles: 56°, 75° - Expression for the third angle: \(6x + 1\) 11) - Triangle with given angle: 53° - Expression for the second angle: \(12x - 5\) - The third angle: 48° --- **Explanation of Diagrams:** 1) The diagram shows a triangle with one angle labeled as 115° and another as 35°. The third angle is calculated to be 30°. The remaining questions feature triangles with given angles and algebraic expressions representing the unknown angles. The task is to solve for x using the information provided, adhering to the principle that the sum of the interior angles in any triangle is always 180°.
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