QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV . x =

m(triangle shape)ZTV = _ degrees

Solution :

It is given that Z is the incenter

So, we get from the figure

⇒

⇒ x = 5

So,

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So,

Therefore, m ∠ ZTU = 43°

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step-by-step explanation: