The measure of the third angle is two interior angles of a triangle each measure 34° is 116 degrees
The sum of interior angles in a triangle is 180degrees.
Let the angles of the triangles be a, b and c. Hence:
a + b + c = 180
if two of the angles are 34degrees each, then a = b = 34
Substitute the given values into the formula above to have:
34 + 34 + c = 180
68 + c = 180
Subtract 68 from both sides
68 + c - 68 = 180 - 68
c = 180 - 64
c = 116 degrees
Hene the measure of the third angle is two interior angles of a triangle each measure 34° is 116 degrees
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