two angles of a triangle measure 12 degrees and 40 degrees. what is the meaure of the third angle of he triangle

The measure of the third angle of the triangle using the sum of interior angles of a triangle theorem would be 128°

Recall :

The sum of the internal angles of a triangle adds up to 180°

Hence,

Let :

Then, we'll have ;

12° + 40° + C = 180°

52° + C = 180°

C = 180° - 52°

C = 128°

Hence, the measure of the third angle is 128°

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Step-by-step explanation:

Given

Angle 1 = 12

Angle 2 = 40

Required

Determine the third angle

The angles of a triangle is such that;

Substitute values for Angle 1 and 2

Subtract 52 from both sides

Hence, the measure of the third angle is 128 degrees

1; 35 is the ratio

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