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Chapter 1: Q15. (page 30)

What kind of angle is 鈭�CBD?

Short Answer

Expert verified

The angle 鈭�CBDrepresents itself as an obtuse angle.

Step by step solution

01

Step 1. Definition of acute and obtuse angle.

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

02

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

In the given figure 鈭�ABCrepresents itself as a straight angle so make an equation by taking the addition of the angles 鈭�ABDand 鈭�CBDequal to 180掳. The value of angle 鈭�ABDis represented by 88掳.

role="math" localid="1649239944454" m鈭�CBD+m鈭�ABD=180掳m鈭�CBD+88掳=180掳m鈭�CBD=180掳鈭�88掳m鈭�CBD=92掳

03

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

The value of 鈭�CBDis 92掳which means that it is an obtuse angle.

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