In a triangle, one of the angles is 64 degrees, the adjacent angle to the other corner of the triangle

In a triangle, one of the angles is 64 degrees, the adjacent angle to the other corner of the triangle is 142 degrees. Find the third corner of the triangle

Let MPH be a given triangle, angle M = 64 °, the adjacent angle to the angle P = 142 °, you need to find the angle H.

The sum of adjacent angles is 180 °, we find the angle P of the MPH triangle:

Angle P = 180 ° – 142 ° = 38 °.

The sum of the angles in any triangle is 180 °:

M + P + H = 180 °.

Angle H = 180 ° – (M + P).

Angle Н = 180 ° – (64 ° + 38 °) = 180 ° – 102 ° = 78 °.

Answer: The third angle of the triangle is 78 °.