Chapter 1: Q16. (page 30)

$\vec{D B}$ bisects $∠ A D C, m ∠ 1 = 5 x - 3, and m ∠ 2 = x + 25$ . Find the value of $x$ .

Short Answer

Expert verified

The number 7 represents itself as the value of $x$ .

Step by step solution

Step 1. Observe the given information.

The given information represents $\vec{D B}$ as a bisector which means the angles bisects by the line $\vec{D B}$ are equal to each other.

Step 2. Make an equation by using the observation.

Equate the measurement of angles bisects by the line $\vec{D B}$ equal to each other. The angles are $∠ 1$ and $∠ 2$ .

$m ∠ 1 = m ∠ 2$

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

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

localid="1649242020481" $\begin{matrix} 5 x - 3 = x + 25 \\ 5 x - x = 25 + 3 \\ 4 x = 28 \\ x = \frac{28}{4} \\ x = 7 \end{matrix}$

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$\vec{D B}$ bisects $∠ A D C, m ∠ 1 = 5 x - 3, and m ∠ 2 = x + 25$ . Find the value of $x$ .

Short Answer

Step by step solution

Step 1. Observe the given information.

Step 2. Make an equation by using the observation.

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

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DB→bisects ∠ADC, m∠1=5x−3, andm∠2=x+25. Find the value of x.

Short Answer

Step by step solution

Step 1. Observe the given information.

Step 2. Make an equation by using the observation.

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Decision Maths

Pure Maths

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

$\vec{D B}$ bisects $∠ A D C, m ∠ 1 = 5 x - 3, and m ∠ 2 = x + 25$ . Find the value of $x$ .