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a. PQRS is inscribed in a circle, so opposite angles are supplementary. a. m Q + m S = 180 o. m P + m R = 180 o. EXAMPLE 5. Use Theorem 10.10. Find the value of each variable. SOLUTION. 75 o + y o = 180 o. 80 o + x o = 180 o. y = 105. x = 100. b.
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a. PQRS is inscribed in a circle, so opposite angles are supplementary. a. mQ + m S = 180o m P + m R = 180o EXAMPLE 5 Use Theorem 10.10 Find the value of each variable. SOLUTION 75o + yo = 180o 80o + xo = 180o y = 105 x = 100
b. JKLMis inscribed in a circle, so opposite angles are supplementary. b. mK + m M = 180o m J + m L = 180o EXAMPLE 5 Use Theorem 10.10 Find the value of each variable. SOLUTION 4bo + 2bo = 180o 2ao + 2ao = 180o 6b = 180 4a = 180 b = 30 a = 45
for Example 5 GUIDED PRACTICE Find the value of each variable. 5. SOLUTION y = 112 x = 98
for Example 5 GUIDED PRACTICE Find the value of each variable. 6. SOLUTION c = 62 x = 10