Circle Theorem Examples and Solutions for Finding Angle Values
Explore examples of inscribed angles in circles and find the values of variables using Theorem 10.10. Practice guided solutions for angle calculations.
Circle Theorem Examples and Solutions for Finding Angle Values
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Presentation Transcript
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
