To find the angles of a triangle with given interior angle measures, sum the angles and apply the triangle angle sum theorem. The largest angle is 75 degrees, the smallest angle is 45 degrees, and the difference between them is 30 degrees.
Angle Measure in a Triangle:
To find the angles of a triangle with interior angles 3x, 4x, and 5x, we add them up and set the total equal to 180 degrees (sum of angles in a triangle).3x + 4x + 5x = 18012x = 180x = 15Largest angle = 5x = 5 15 = 75 degreesSmallest angle = 3x = 3 15 = 45 degrees Difference between largest and smallest angles = 75 - 45 = 30 degrees
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