Using the knowledge of the measure of a semicircle, the measures in the circle given are:
a. m(DEF) = 152°
b. m(EFG) = 70°
c. m(CA) = 28°
What is the Measure of a Semicircle?
Half of a circle is a semicircle = 180°.
Given the following:
- m(CDE) = 152°
- m(FG) = 31°
- m(AG) = 110°
- m(DC) = m(EF) = 180 - 110 - 31 = 39° (semicircle)
a. m(DEF) = [m(CDE) - m(DC)] + [m(EF)]
m(DEF) = (152 - 39) + 39
m(DEF) = 152°
b. m(EFG) = m(EF) + m(FG)
m(EFG) = 39 + 31 = 70°
c. m(CA) = 180 - 152 (semicircle)
m(CA) = 28°
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