Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 2: Q15. (page 59)

In the figure $\overset{鈫�}{B F} 鈯� \overset{鈫�}{A E}$ , $m 鈭� B O C = x$ , and $m 鈭� G O H = y$ . Express the measure of the angle in terms of x, y, or both.
$鈭� C O H$

Short Answer

Expert verified

The required value of provided angle is $(180 鈭� y) 掳$ .

Step by step solution

Step 1. Observe the given statement and figure.

The provided angle consists of two angles which are $鈭� B O C$ and $鈭� H O B$ where the $鈭� H O B$ is also a mixture of $鈭� A O B$ and $鈭� H O A$ in which $鈭� A O B$ represents itself as a right angle and $鈭� H O A$ is equal to $180 掳鈭� (90 掳 + x + y)$ becauseGC represents a straight line.

Step 2. Make an equation.

Using the observation make an equation.

$鈭� C O H = 鈭� B O C + 鈭� H O B$

Step 3. Determine the required value.

Use the definition of perpendicular lines that is the relation between two lines is perpendicular when the measurement of angles formed by those lines is equal to 90掳. The $鈭� A O B$ is formed by the provided perpendicular lines so by substituting the value of $鈭� B O C$ and $鈭� H O B$ into the obtained equation, determine the value of provided angle.

$鈭� C O H = x + 90 + (180 鈭� (90 + x + y)) = x + 90 + (90 鈭� (x + y)) = (180 鈭� y) 掳$

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91影视

In the figure $\overset{鈫�}{B F} 鈯� \overset{鈫�}{A E}$ , $m 鈭� B O C = x$ , and $m 鈭� G O H = y$ . Express the measure of the angle in terms of x, y, or both.
$鈭� C O H$

Short Answer

Step by step solution

Step 1. Observe the given statement and figure.

Step 2. Make an equation.

Step 3. Determine the required value.

One App. One Place for Learning.

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91影视

In the figure BF鈫�鈯�AE鈫�, m鈭�BOC=x, and m鈭�GOH=y. Express the measure of the angle in terms of x, y, or both.鈭�COH

Short Answer

Step by step solution

Step 1. Observe the given statement and figure.

Step 2. Make an equation.

Step 3. Determine the required value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Calculus

Pure Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

In the figure $\overset{鈫�}{B F} 鈯� \overset{鈫�}{A E}$ , $m 鈭� B O C = x$ , and $m 鈭� G O H = y$ . Express the measure of the angle in terms of x, y, or both.
$鈭� C O H$