you are rotating a triangle clockwise 35 degree how many degrees does this correspond to if rotating the triangle counterclockwise instead
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you are rotating a triangle clockwise 35 degree how many degrees does this correspond to if rotating the triangle counterclockwise instead
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Given :- you are rotating a triangle clockwise 35 degree how many degrees does this correspond to if rotating the triangle counterclockwise instead ?
Solution :-
given that, a triangle is rotated 35° in clockwise direction.
Now, we if rotate in counterclockwise (anticlockwise) direction how many degrees does this correspond . we have to compare both angles.
we know that, a complete angle is equal to 360° , which forms a circle.
So, we can say that, if we move 35° in clockwise direction , in order to move to that point in counterclockwise direction we have to cover remaining distance of one complete angle.
So, Let us assume that, we rotate the given ∆ x° counterclockwise in order to reach at same point.
Than,
→ clockwise rotation is = 35°
→ counterclockwise rotation is = x°
So,
→ clockwise rotation + counterclockwise rotation = one complete angle = 360°
Therefore,
→ clockwise rotation + counterclockwise rotation = 360°
→ 35° + x° = 360°
→ x° = 360° - 35°
→ x° = 325° .
So, comparing both angles now,
→ x° - 35° = 325° - 35° = 290° (Ans.)
Hence, counterclockwise angle is 290° greater than clockwise angle.
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