In △ A B C , ∠ A is 2 0 ∘ and angle B is 4 0 ∘ . What is the measure of ∠ C in degrees?
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wow, this problem should be level 0
No, this problem should be level -1
The sum of the interior angles of a triangle is 1 8 0 . So the missing angle is 1 8 0 − 2 0 − 4 0 = 1 2 0
1 8 0 − ( 2 0 + 4 0 ) = 1 8 0 − 6 0 = 1 2 0
Hence the answer is 1 2 0
The answer is 1 8 0 − ( 2 0 + 4 0 ) = 1 2 0 .
The sum of the internal angles of one triangle is 180°, the sum of A and B angles is 60°. 180-60=120. So the answer is 120°
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Let the measure of ∠ C be x . We know that the sum of a triangle's angles is 1 8 0 ∘ . We also know that the first two angles sum up to 6 0 ∘ . Therefore, the measure of ∠ C is 1 8 0 ∘ − 6 0 ∘ = 1 2 0 ∘ .