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Given that one of the angles in a triangle is 60°, select the correct option for each statement.

Given that one of the angles in a triangle is 60°, select the correct option for each-example-1
User Telephone
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(i) might be true, you can have a scalene triangle with one angle being 60°, (if all the other angles were also 60°) BUT we don’t know the other angles so it is possible that it is not a scalene as well

(ii) must be true, because all angles in a triangle must add up to 180° (120°+60°=180°)

(iii) cannot be true, because in order to be obtuse that means the other angles must both be bigger than 90°, and 91°+ 91° is 182°,but ALL three angles of a triangle must equal 180° together therefore there wouldn’t be any room for the 60°

(iiii) Might be true, 60° plus a right angle (90°) gives you 150°, and the other angle would be 30°, so you can’t tell for sure if it’s a right angle triangle but it is possible that is could be.
User Amitmula
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