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Chapter 2: Q9. (page 68)

Suppose m鈭�3=3x+5and m鈭�4=6x+13. Find the value of x.

Short Answer

Expert verified

The value ofx is18.

Step by step solution

01

Step 1. Observe the diagram.

m鈭�3=3x+5 鈥� (i)

m鈭�4=6x+13 ... (ii)

From the diagram,

m鈭�3+m鈭�4=180掳

02

Step 2. Show the calculation.

Here, m鈭�3+m鈭�4=180掳.

By substituting the value from equation (i) and (ii),

3x+5+6x+13=180

9x+18=180

9x=180鈭�18

9x=162

That implies,

x=18

Putting the value of x in equation (i),

m鈭�3=3x+5

=3脳18+5

=54+5

=59

Putting the value of x in equation (ii),

m鈭�4=6x+13

=6脳18+13

=108+13

=121

03

Step 3. State the conclusion.

Therefore, the value of xis 18.

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Most popular questions from this chapter

State which postulate, definition, or theorem justifies the statement about the diagram.

m鈭�AEB+m鈭�BEC=m鈭�AEC

Copy everything shown and write a two-column proof.

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