3 years ago

Please please please help!!!

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Answer:

a = 35, b = 40, c = 17.5

Step-by-step explanation:

The sum of the 3 arcs on the semicircle above the diameter = 180° , that is

65 + 80 + a = 180

145 + a = 180 ( subtract 145 from both sides )

a = 35

The inscribed angles b and c are half the measures of their intercepted arcs

b = $\frac{1}{2}$ × 80 = 40

c = $\frac{1}{2}$ × 35 = 17.5

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