SOLUTION Textiles EXAMPLE 2 Solve a Multi-Step Problem Find the angle measures indicated in the rug design if m 1 = 122. STEP 1 It is given that m 1= 122.

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

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

GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. 7. ANSWER m 6= m 8 = 43, m 5 = m 7 = 137.

GUIDED PRACTICE for Example 2 Find the measures of the numbered angles. 8. ANSWER m 9 = m 11 = 126 and m 8 = m 10 = 54.