Q14. Given the diagram, tell whether ... [FREE SOLUTION]

91影视

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 1: Q14. (page 31)

Given the diagram, tell whether you can reach the conclusion shown.
If $m 鈭� 1 = 46$ , find $m 鈭� D X C$ and $m 鈭� C X B$ .

Short Answer

Expert verified

The value of $m 鈭� D X C = 134$ and $m 鈭� C X B = 46$ .

Step by step solution

Step 1. Look for the suitable method.

The postulate 4 is the suitable method according to which the measurement of straight angle is $180 掳$ .

Step 2. Determine the value of m∠DXC.

Both the angles $m 鈭� D X C$ and $鈭� 1$ are present on a straight line $A C$ which means that the addition of localid="1649228650652" $m 鈭� D X C$ and $鈭� 1$ will be equal to $180 掳$ . Using this determine the value of $m 鈭� D X C$ .

localid="1649228825414" $m 鈭� 1 + m 鈭� D X C = 180 46 + m 鈭� D X C = 180 m 鈭� D X C = 180 - 46 m 鈭� D X C = 134$

Step 3. Determine the value of m∠CXB.

Both the angles $m 鈭� D X C$ and $m 鈭� C X B$ are present on a straight line $B D$ which means that the addition of $m 鈭� D X C$ and $鈭� 1$ will be equal to $180 掳$ . Using this determine the value of $m 鈭� C X B$ .

localid="1649230592504" $m 鈭� D X C + m 鈭� C X B = 180 134 + m 鈭� C X B = 180 m 鈭� C X B = 180 - 134 m 鈭� C X B = 46$

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91影视

Given the diagram, tell whether you can reach the conclusion shown.
If $m 鈭� 1 = 46$ , find $m 鈭� D X C$ and $m 鈭� C X B$ .

Short Answer

Step by step solution

Step 1. Look for the suitable method.

Step 2. Determine the value of m∠DXC.

Step 3. Determine the value of m∠CXB.

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91影视

Given the diagram, tell whether you can reach the conclusion shown.If m鈭�1=46, find m鈭�DXCand m鈭�CXB.

Short Answer

Step by step solution

Step 1. Look for the suitable method.

Step 2. Determine the value of m∠DXC.

Step 3. Determine the value of m∠CXB.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Geometry

Study anywhere. Anytime. Across all devices.

Given the diagram, tell whether you can reach the conclusion shown.
If $m 鈭� 1 = 46$ , find $m 鈭� D X C$ and $m 鈭� C X B$ .