Question

When the measures of the angles of a triangle are placed in order, the difference between the middle angle and smallest angle is equal to the difference between the middle angle and largest angle. if one of the angles of the triangle has measure $23^\circ$, then what is the measure in degrees of the largest angle of the triangle?

Answer 1

If the angles of a triangle form an arithmetic sequence, the middle angle must be the average of the three angles, hence 180°/3 = 60°. The sum of the other two is then 180° -60° = 120°

The largest angle is 120° - 23° = 97°.


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The common difference is 37°.