Respuesta :

MrRoyal

Answer:

[tex]Angle\ 3 = 128[/tex]

Step-by-step explanation:

Given

Angle 1 = 12

Angle 2 = 40

Required

Determine the third angle

The angles of a triangle is such that;

[tex]Angle\ 1 + Angle\ 2 + Angle\ 3 = 180[/tex]

Substitute values for Angle 1 and 2

[tex]12 + 40 + Angle\ 3 = 180[/tex]

[tex]52 + Angle\ 3 = 180[/tex]

Subtract 52 from both sides

[tex]Angle\ 3 = 180 - 52[/tex]

[tex]Angle\ 3 = 128[/tex]

Hence, the measure of the third angle is 128 degrees

fichoh

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,

  • A + B + C = 180°

Let :

  • A = 12° ; B = 40°

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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