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A carpenter designed the top of a table in a triangular shape as shown below. Determine the difference between the largest and the smallest angles in the figure above.
Mathematics
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Answer
Step-by-step solution
4 stepsThe sum of angles in a triangle is .
Set up an equation with the given angles.
Solve the equation for .
Substitute the value of back into the expressions for each angle to find their measures.
First angle:
Second angle:
Third angle:Identify the largest and smallest angles and calculate their difference.
The angles are , , and .
Largest angle =
Smallest angle =
Difference = Largest angle - Smallest angle
Difference =The difference between the largest and the smallest angles is .
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