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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Everyone at our lunch table was silent; our small world had been rocked to the core. Derrick, president of the computer chess club stared at his lunch tray as if it held some sort of threatening, inedible concoction from another planet. Laurel, the leader of my literary discussion group, was pale, looking as though she were coming down with some nasty illness. We had just learned that Frabjous Day, the best and only bookstore in our small town might have to close. Business was just too slow. (The charming name, of course, was from Lewis Carroll's nonsense poem "Jabberwocky.") People were purchasing books online or downloading them to their e-readers. No one seemed interested in a real bookstore anymore. This impacted us not only because our groups met at Frabjous Day, but also because we believed that the bookstore added value to life and the community.

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