**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°.

As per guidelines we have to solve only three

Answered: Geometry Name AII rig hL reser ved.…

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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.

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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°.

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