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Chapter 12: Q28. (page 690)

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

Short Answer

Expert verified

The value of x is 15掳.

Step by step solution

01

Step 1. Given Information.

The figure is given below.

02

Step 2. Calculation.

Since, sum of the angles forming a linear pair is 180掳. Therefore,

5x+鈭�7x=鈭�180掳 鈥︹�� (1)

Find x using equation (1).

5x掳+7x掳=180掳12x掳=180掳x=180掳12掳x=15掳

Thus, the value of x is 15掳.

03

Step 3. Conclusion.

The measures of unknown angles are 75掳 and 105掳.

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Most popular questions from this chapter

Use the diagram. For lines mand nto be parallel, what must the value of xbe?

  1. Tell whether the labelled angles are corresponding, alternate interior, or alternate exterior angles.
  2. Write an equation that relates the angles measures.
  3. Solve the equation for x.

A typical male sprinter can maintain his maximum acceleration for \({\bf{2}}.{\bf{0}}\;{\bf{s}}\), and his maximum speed is \({\bf{10 m/s}}\). After he reaches this maximum speed, his acceleration becomes zero, and then he runs at constant speed. Assume that his acceleration is constant during the first \({\bf{2}}.{\bf{0}}\;{\bf{s}}\) of the race, that he starts from rest, and that he runs in a straight line. (a) How far has the sprinter run when he reaches his maximum speed? (b) What is the magnitude of his average velocity for a race of these lengths: (i) \({\bf{50}}.{\bf{0}}\;{\bf{m}}\); (ii) \({\bf{100}}.{\bf{0}}\;{\bf{m}}\); (iii) \({\bf{200}}.{\bf{0}}\;{\bf{m}}\)?

A transversal intersects two parallel lines, forming alternate interior angles 鈭�1 and 鈭�2, and vertical angles 鈭�1 and 鈭�3. Illustrate the situation. How are m鈭�2 and m鈭�3 related? Explain.

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

Find the measures of the numbered angles in the diagram.
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