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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. - PowerPoint PPT Presentation
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SOLUTION
EXAMPLE 2 Using Congruent Polygons
JKL TSR .= Find m S.
Corresponding angles are congruent.
31 + m K + 25 = 180
K and S are corresponding angles, so they have the same measure. Find m K.
Sum of angle measures is 180 .
Add.= 180 m K + 56
m K + 56 – 56 = 180 – 56 Subtract 56 from each side.
m K = 124 Simplify.
EXAMPLE 2 Using Congruent Polygons
ANSWER
Because m K = m S, m S = 124
GUIDED PRACTICE for Example 2
Find the value using the triangles in Example 2.
2. length of ST
KJ ST = 10 cm
ANSWER
GUIDED PRACTICE for Example 2
Find the value using the triangles in Example 2.
3. m T
m S = m T = 31
ANSWER
GUIDED PRACTICE for Example 2
Find the value using the triangles in Example 2.
4. m R
m R = 25
ANSWER
