The angle in a triangle are in the form x,2x,3x Find the difference between the smallest and the largest angle
Mathematics
ScanSolve AI Answer
Step-by-step solution
4 stepsSet up the equation for the sum of angles in a triangle.
The sum of the angles in any triangle is . The given angles are , , and .
Solve for .
Combine the terms on the left side of the equation.
Divide both sides by 6.
Calculate the measure of each angle.
Substitute the value of back into the expressions for the angles.
Smallest angle:
Middle angle:
Largest angle:Find the difference between the smallest and the largest angle.
Difference = Largest angle - Smallest angle
Difference =
Difference =The final answer is
\boxed{\text{60^\circ}}.
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