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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

User Brijesh Bhakta
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112

Explanation:
If you angles are 34 you would add them up to make 68. If the angle of a triangle has to be 180 then you subtract 68 from 180.
User Michal Shatz
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