Chapter 1: Q15. (page 30)

What kind of angle is $∠ C B D$ ?

Short Answer

Expert verified

The angle $∠ C B D$ represents itself as an obtuse angle.

Step by step solution

Step 1. Definition of acute and obtuse angle.

The angle having the measurement below $90 °$ represents itself as an acute angle but if its measurement is above $90 °$ then it will represent itself as an obtuse angle.

Step 2. Observe the figure and determine the value of given angle.

In the given figure $∠ A B C$ represents itself as a straight angle so make an equation by taking the addition of the angles $∠ A B D$ and $∠ C B D$ equal to $180 °$ . The value of angle $∠ A B D$ is represented by $88 °$ .

role="math" localid="1649239944454" $m ∠ C B D + m ∠ A B D = 180 ° m ∠ C B D + 88 ° = 180 ° m ∠ C B D = 180 ° - 88 ° m ∠ C B D = 92 °$

Step 3. Determine whether the given angle is an obtuse or acute angle.

The value of $∠ C B D$ is $92 °$ which means that it is an obtuse angle.

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What kind of angle is $∠ C B D$ ?

Short Answer

Step by step solution

Step 1. Definition of acute and obtuse angle.

Step 2. Observe the figure and determine the value of given angle.

Step 3. Determine whether the given angle is an obtuse or acute angle.

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What kind of angle is ∠CBD?

Short Answer

Step by step solution

Step 1. Definition of acute and obtuse angle.

Step 2. Observe the figure and determine the value of given angle.

Step 3. Determine whether the given angle is an obtuse or acute angle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Pure Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

What kind of angle is $∠ C B D$ ?