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Chapter 3: Q8. (page 112)

Find the value of x.

m∠2=2x+12,m∠3=4(x-7)

Short Answer

Expert verified

The value ofx is 20.

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∠2 and∠3 are the corresponding angles.

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

That implies, m∠2=m∠3.

03

Step 3. Find the value of x.

As, m∠2=m∠3.

Therefore, the value ofx is given by:

m∠2=m∠32x+12=4x−72x+12=4x−2812+28=4x−2x40=2x402=x20=x

Therefore, the value ofx is 20.

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