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Chapter 3: Q7. (page 112)

Find the value of x.

m鈭�1=3x-20,m鈭�2=x

Short Answer

Expert verified

The value ofx is 50.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Write the relationship between the angles ∠2 and ∠3.

From the given diagram it can be noticed that the angles鈭�2 and鈭�3 are the corresponding angles.

Therefore, the measures of the angles鈭�2 and鈭�3 are equal.

That implies, m鈭�2=m鈭�3.

03

Step 3. Write the relationship between the angles ∠1 and ∠3.

From the given diagram it can be noticed that the angles鈭�1 and鈭�3 are the angles lying on the same straight line.

Therefore, the sum of the angles鈭�1 and鈭�3 is 180掳.

That implies, m鈭�1+m鈭�3=180.

04

Step 4. Find the value of x.

As, m鈭�1+m鈭�3=180.

Therefore, the value ofx is given by:

m鈭�1+m鈭�3=180m鈭�1+m鈭�2=180鈭�m鈭�3=m鈭�23x鈭�20+x=1804x鈭�20=1804x=180+204x=200x=2004x=50

Therefore, the value ofx is 50.

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