Sum
Using the information shown in figure, find the measures of ∠ a, ∠ b and ∠ c.
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Solution
c + 100∘ = 180∘ (Linear angle property)
⇒ c = 80∘
Now, b = 70∘ (Vertically opposite angles)
a + b + c = 180∘ (Angle sum property)
⇒ a + 70∘ + 80∘ = 180∘
⇒ a + 150∘ = 180∘
⇒ a = 30∘
Hence, the values of a, b and c are 30∘, 70∘ and 80∘ respectively.
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