ABC is an equilateral triangle.Calculate X.
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ABC is an equilateral triangle.Calculate X.
Since this is an equilateral triangle, all angles are also equal.
As the sum of angles in a triangle is 180 degrees, each angle is equal to 60 degrees. (180:3=60)
From this, we can conclude that:
Let's divide both sides by 8:
7.5
Find the measure of the angle \( \alpha \)
Since an equilateral triangle has all sides equal, all angles must also be equal. The sum of angles in any triangle is 180°, so each angle is .
If it were isosceles (two equal sides), you'd have two equal angles. If it were scalene (all different sides), you'd need more information to solve for x.
It doesn't matter which specific angle equals 8x! Since all angles are equal in an equilateral triangle, any angle can be set equal to 60°.
No! The key information is that ABC is equilateral. Without this, you can't determine that each angle equals 60°, making the problem unsolvable.
Double-check your setup: , so . If you used 180° instead of 60°, you'd get the wrong answer!
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