Chapter 1: Q14. (page 31)

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

Short Answer

Expert verified

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

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 $180 °$ .

Step 2. Determine the value of m∠DXC.

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

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

Step 3. Determine the value of m∠CXB.

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

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

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

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

Mechanics Maths

Geometry

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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