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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 12: Q27. (page 690)

Find the value of xin the figure. Then find the unknown angle measures.

Short Answer

Expert verified

The value of $x$ is $9 °$ .

Step by step solution

01

Step 1. Given Information.

The figure is given below.

02

Step 2. Calculation.

Since, vertically opposite angles are equal. Therefore,

$6 x {}^{\circ}= (2 x + 36) °$ …… (1)

Find x using equation (1).

$\begin{matrix} 6 x ° - 2 x ° = 36 ° \\ 4 x ° = 36 ° \\ x = \frac{36 °}{4 °} \\ x = 9 ° \end{matrix}$

Thus, the value of x is $9 °$ .

03

Step 3. Conclusion.

The value of $x$ is $9^{°}$ .

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Most popular questions from this chapter

As shown in the diagram, the two structures of the Puerta de Europa (Door of Europe) in Madrid, Spain, lean toward each other at an angle of $15 °$ from the vertical.

In the diagram, $∠ 1$ and the angle that measures $15 °$ are complementary angles. Find $m ∠ 1$ .
Tell whether $∠ 1$ and $∠ 2$ arecomplementary or supplementary angles. Then use your answer to part (a) to find $m ∠ 2$ .

In example 2, if you know only $m ∠ 6$ ,can you find the measures of the other numbered angles? Explain.

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 1 = 22 ° \\ m ∠ 2 = 58 ° \end{matrix}$

$∠ 3$ and $∠ 4$ arecomplementary angles, and $m ∠ 3 = 24 °$ . Find $m ∠ 4$ .

In Exercises 6 and 7, use the given information to find $m ∠ 2$ .

$∠ 1$ and $∠ 2$ aresupplementary angles, and $m ∠ 1 = 160 °$ .

See all solutions

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