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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

Step 1. Given Information.

The figure is given below.

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 $9 °$ .

Step 3. Conclusion.

The value of $x$ is $9^{°}$ .

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Most popular questions from this chapter

In the diagram, use only what you know about supplementary angles to write expressions for $m ∠ 1$ , $m ∠ 2$ , and $m ∠ 3$ in terms of x. Then use the expressions to show that the vertical angles have equal measures.

Multiple Choice: If $∠ 1$ and $∠ 2$ are complementary angles, what could their measures be?

$\begin{matrix} A . m ∠ 1 = 36 ° \\ m ∠ 2 = 24 ° \end{matrix}$ $\begin{matrix} B . m ∠ 1 = 52 ° \\ m ∠ 2 = 38 ° \end{matrix}$ $\begin{matrix} C . m ∠ 1 = 61 ° \\ m ∠ 2 = 61 ° \end{matrix}$ $\begin{matrix} D . m ∠ 1 = 89 ° \\ m ∠ 2 = 91 ° \end{matrix}$

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

$∠ 3 and ∠ 7$

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

$\begin{matrix} m ∠ 1 = 140 ° \\ m ∠ 2 = 40 ° \end{matrix}$

Use the diagram shown. Identify all pairs of the specified angles.

Supplementary angles

See all solutions

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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