geometry question atatched

In the given triangle, the measure of angle C is 32°

From the question, we are to determine the value of angle C.

Let half of ∠IAB = a

and half of ∠IBA = b

Then,

a + b + 106° = 180° (Sum of angles in a triangle)

a + b = 74°

Also,

2a + 2b + ∠C = 180° (Sum of angles in a triangle)

2(a + b) + ∠C = 180°

2(74°) + ∠C = 180°

148° + ∠C = 180°

Subtract 148° from both sides

148° - 148° + ∠C = 180° - 148°

∠C = 32°

Hence, the measure of C is 32°

Learn more on Calculating the measure of angles here: https://brainly.com/question/29591630

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