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Chapter 1: Q16. (page 30)

DB鈫�bisects 鈭�ADC,鈥�m鈭�1=5x鈭�3,鈥刟苍诲m鈭�2=x+25. Find the value of x.

Short Answer

Expert verified

The number 7 represents itself as the value of x.

Step by step solution

01

Step 1. Observe the given information.

The given information represents DB鈫�as a bisector which means the angles bisects by the lineDB鈫� are equal to each other.

02

Step 2. Make an equation by using the observation.

Equate the measurement of angles bisects by the line DB鈫�equal to each other. The angles are 鈭�1and 鈭�2.

m鈭�1=m鈭�2

03

Step 3. Determine the number that represents the value of x by using the obtained equation.

Substitute the value of m鈭�1and localid="1649242247308" m鈭�2into the equation m鈭�1=m鈭�2 and determine the number that represents the value of x.

localid="1649242020481" 5x鈭�3=x+255x鈭�x=25+34x=28x=284x=7

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