Chapter 2: Q9. (page 68)

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

Short Answer

Expert verified

The value ofx is18.

Step by step solution

Step 1. Observe the diagram.

$m ∠ 3 = 3 x + 5$ … (i)

$m ∠ 4 = 6 x + 13$ ... (ii)

From the diagram,

$m ∠ 3 + m ∠ 4 = 180 °$

Step 2. Show the calculation.

Here, $m ∠ 3 + m ∠ 4 = 180 °$ .

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

$(3 x + 5) + (6 x + 13) = 180$

$9 x + 18 = 180$

$9 x = 180 - 18$

$9 x = 162$

That implies,

x=18

Putting the value of x in equation (i),

$m ∠ 3 = 3 x + 5$

$= (3 \times 18) + 5$

$= 54 + 5$

$= 59$

Putting the value of x in equation (ii),

$m ∠ 4 = 6 x + 13$

$= (6 \times 18) + 13$

$= 108 + 13$

$= 121$

Step 3. State the conclusion.

Therefore, the value of xis 18.

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

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

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

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Probability and Statistics

Applied Mathematics

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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