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SOLUTION

Find the angle measures indicated in the rug design if m 1 = 122. It is given that m 1. = 122. 1 and 3 are vertical angles.Their measures are equal, so m 3. = 122. EXAMPLE 2. Solve a Multi-Step Problem. Textiles. SOLUTION. STEP 1. 180. m 1 + m 2. =. 122 +.

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SOLUTION

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  1. Find the angle measures indicated in the rug design if m1 = 122. It is given that m1 = 122. 1 and 3 are vertical angles.Their measures are equal, so m3 = 122. EXAMPLE 2 Solve a Multi-Step Problem Textiles SOLUTION STEP 1

  2. 180 m 1+m 2 = 122 + m 2 = 180 Substitute 122 form1. m 2 = 58 Subtract 122 from each side. 2 and 4 are vertical angles. Their measures are equal, so m4 . = 58 ANSWER m 1= m3 = 122, m 2 = m 4 = 58 EXAMPLE 2 Solve a Multi-Step Problem STEP 2 1 and 2 are supplementary. Definition of supplementary angles STEP 3

  3. 7. ANSWER m 6= m8 = 43, m 5 = m 7 = 137 . for Example 2 GUIDED PRACTICE Find the measures of the numbered angles.

  4. 8. ANSWER m 9 = m11 = 126 andm 8 = m 10 = 54 . for Example 2 GUIDED PRACTICE Find the measures of the numbered angles.

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