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SOLUTION

JKL. TSR. Find m S. =. K and S are corresponding angles, so they have the same measure. Find m K. 180. Sum of angle measures is 180. 31 + m K + 25. =. m K + 56. 180. =. m K + 56 – 56. 180 – 56. =. 124. m K. =. EXAMPLE 2. Using Congruent Polygons. SOLUTION.

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SOLUTION

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  1. JKL TSR . Findm S. = Kand Sare corresponding angles, so they have the same measure. Find m K. 180 Sum of angle measures is 180 . 31 + mK + 25 = m K + 56 180 = m K + 56 – 56 180 – 56 = 124 m K = EXAMPLE 2 Using Congruent Polygons SOLUTION Corresponding angles are congruent. Add. Subtract 56 from each side. Simplify.

  2. m S, m S m K 124 = EXAMPLE 2 Using Congruent Polygons ANSWER Because =

  3. 2. length ofST ANSWER KJ ST = 10 cm for Example 2 GUIDED PRACTICE Find the value using the triangles in Example 2.

  4. 3. m T ANSWER = = 31 m S m T for Example 2 GUIDED PRACTICE Find the value using the triangles in Example 2.

  5. 4. m R ANSWER = 25 m R for Example 2 GUIDED PRACTICE Find the value using the triangles in Example 2.

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