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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: Q32. (page 696)

In Exercises 32 and 33, use the diagram.
What is $m ∠ 6$ ?
$30 °$ B. $60 °$ C. $90 °$ D. $120 °$

Short Answer

Expert verified

The value of $m ∠ 6$ is $120 °$ . The correct option isOption D.

Step by step solution

01

Step 1. Given Information.

The figure is shown below.

02

Step 2. Explanation.

In the parallel line and its transversal corresponding angles are equal.

The angles, $120 °$ and $∠ 6$ are corresponding angles.

Thus, $m ∠ 6 = 120 °$ .

Hence, the option D is correct.

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Most popular questions from this chapter

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

$\begin{matrix} m ∠ 5 = 98 ° \\ m ∠ 6 = 72 ° \end{matrix}$

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

$\begin{matrix} m ∠ 1 = 63 ° \\ m ∠ 2 = 27 ° \end{matrix}$

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

$∠ 2 and ∠ 6$

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

$\begin{matrix} m ∠ 5 = 37 ° \\ m ∠ 6 = 53 ° \end{matrix}$

In the diagram shown, $m ∠ 1 = 35 °$ and $m ∠ 3 = 110 °$ . What is $m ∠ 5$ ?

Tell how $∠ 1$ and $∠ 2$ arerelated. Then find $m ∠ 2$ .
Tell how $∠ 3$ and $∠ 4$ arerelated. Then find $m ∠ 4$ .
Use what you know about the sum of the measures of the angles of a triangle to find $m ∠ 5$ .

See all solutions

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