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Chapter 12: Q17. (page 695)

Find the value of x that makes lines m and n parallel.

Short Answer

Expert verified

The value of x is x=5.

Step by step solution

01

Step 1. Given Information.

The provided figure is,

Two angles are provided having measures 30掳 and 6x掳.

02

Step 2. Definition of corresponding angles.

When two lines are crossed by another line, it is known as transversal.

Corresponding angles are angles that are at the same relative position at each intersection. The measure of two corresponding angles is equal.

03

Step 3. Calculation.

From the given diagram, angle 30掳 and 6x掳 are corresponding angles. So, both the angles must be equal, that is, 6x=鈭�30掳.

The value of x is,

6x掳=30掳6x6=306x=5

04

Step 4. Conclusion.

The value of x is x=5.

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Most popular questions from this chapter

Find the measure of an exterior angle of a regular pentagon.

In Exercises 32 and 33, use the diagram.

What is m鈭�6?

  1. 30掳 B. 60掳 C. 90掳 D. 120掳

The diagram shows the sculpture Clothespin casting a shadow. In the diagram, 鈭�2is the angle of the sun above the horizon.

  1. At a certain time of the day, m鈭�1=148掳, and the shadow has a length of 72 feet. Use a calculator to find the height of the sculpture. Round to the nearest tenth.
  2. At a certain time of the day, m鈭�1=135掳. How is the length of the shadow related to the height of the sculpture? Explain your reasoning.

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

m鈭�5=37掳m鈭�6=53掳

In Exercise 3-6, match the description with correct value.

Sum of measures of interior angles of a convex heptagon. 360掳
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