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Chapter 12: Q23. (page 690)

Use the given information to find m鈭�2.

鈭�1 and 鈭�2 arecomplementary angles, and m鈭�1=81掳.

Short Answer

Expert verified

The measure of angle m鈭�2 is 9掳.

Step by step solution

01

Step 1. Given Information.

m鈭�1=81掳

02

Step 2. Concept used.

If the sum of two angles is 90掳 then the angles are called complementary angles and if the sum is 180掳 then the angles are called supplementary angles.

03

Step 3. Calculation.

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

m鈭�1+m鈭�2=90掳81掳+m鈭�2=90掳m鈭�2=90掳鈭�81掳=9掳

04

Step 4. Conclusion.

The measure of the angle that is complementary to an angle measuring 81掳 is 9掳.

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Most popular questions from this chapter

Find the measures of the numbered angles in the diagram.

Extended Problem Solving: In the bicycle frame shown, 鈭�1is called the head angle, and 鈭�2 is called the seat angle. Lines mand nare parallel.

  1. Identify: Are 鈭�1 and 鈭�2 are corresponding, alternate interior, or alternate exterior angles.
  2. Explain: 鈭�1 and 鈭�2 have the same measure?
  3. Calculate: 鈭�1 and 鈭�2.Explain how you got your answer.

Use the given information to find m鈭�2.

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

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

鈭�4and鈭�5

The drawing is a herring illusion, in which intersecting transversal make two parallel lines appear to be curves. Describe a way you can use a protector to verify that the two lines are parallel.
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