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Chapter 12: Q21. (page 689)

Use the given information to find m鈭�2.

鈭�1 and 鈭�2arevertical angles, and m鈭�1=140掳.

Short Answer

Expert verified

The measure of angle m鈭�2 is 140掳.

Step by step solution

01

Step 1. Given Information.

m鈭�1=140掳

02

Step 2. Concept used.

If two angles are vertical, then their measures are equal.

03

Step 3. Calculation.

Since 鈭�1 and 鈭�2 are vertical angles.

m鈭�2=m鈭�1=140掳

04

Step 4. Conclusion.

The measure of the angle that is vertical to an angle measuring 140掳 is 140掳.

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Most popular questions from this chapter

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, m鈭�1=95掳and m鈭�3=45掳. Tell whether the statement is true or false. Explain your reasoning.

  1. 鈭�2 and 鈭�3are corresponding angles.
  2. 鈭�2 and 鈭�3 have equal measures.
  3. 鈭�2 and 鈭�3are complementary angles.
  4. The sum of the measures of 鈭�1,鈭�2and 鈭�3is 180掳.

In the diagram shown, m鈭�1=35掳and m鈭�3=110掳. What is m鈭�5?

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

Find the measures of the numbered angles in the diagram.

Find the sum of the measures of the interior angles of a convex 10-gon.

Solve the equation by first clearing the fractions.

710x-15=38
See all solutions

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