Find the angle measure needed to make a hole in one **Golf Geometry Problem**In this golf course diagram, you are tasked with finding the unknown angle $ x $. The diagram is a green area with a golf hole marked by a flag symbol. ### Key Elements in the Diagram:- The course includes several right-angle corners.- There is a clearly marked angle of $86^\circ$ at the top of the diagram within the course.- The unknown angle $ x $ is denoted at a right-angle corner to the left side of the diagram.- The path from the ball position (red dot) to the hole is indicated with black lines.### Explanation:1. The diagram is an irregular polygon representing part of a golf course.2. The angle $86^\circ$ is part of the solution needed to determine angle $ x $.3. The course has multiple right angles, which are essential for solving the geometric problem.This problem encourages thinking about geometric properties and relationships between angles in polygons. **Find the Measure of Angle $ x $ for a Hole-in-One**In Exercises 57

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Find the angle measure needed to make a hole in one

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

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

Find the angle measure needed to make a hole in one

**Golf Geometry Problem**

In this golf course diagram, you are tasked with finding the unknown angle $ x $. The diagram is a green area with a golf hole marked by a flag symbol.

### Key Elements in the Diagram:

- The course includes several right-angle corners.
- There is a clearly marked angle of $86^\circ$ at the top of the diagram within the course.
- The unknown angle $ x $ is denoted at a right-angle corner to the left side of the diagram.
- The path from the ball position (red dot) to the hole is indicated with black lines.

### Explanation:

1. The diagram is an irregular polygon representing part of a golf course.
2. The angle $86^\circ$ is part of the solution needed to determine angle $ x $.
3. The course has multiple right angles, which are essential for solving the geometric problem.

This problem encourages thinking about geometric properties and relationships between angles in polygons.

**Find the Measure of Angle $ x $ for a Hole-in-One**

In Exercises 57

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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