The circle below has center t. suppose that m uv=138 degrees and that uw is tangent to the circle at u. find the following

answer:

tu is a tangent line to the circle touching at point u

∴ ∠ qut =90°   (1)

the marc ur is 199° ⇒⇒⇒ ∠rqu = 199° (largest arc)

and the marc rs is 84°⇒⇒⇒ ∠rqs = 84°

∴∠ squ = 360° - (199°+84°) = 360° - 283° = 77°

  δ rsq is isosceles triangle because qr = qs = radius of the circle q

∴∠qrs = 0.5 (180° - 84° ) = 48° (2)

∵ the sum of angels of the shape rqut = 360°

∠r = 48°     (from 2)

∠q = 360° - 199° = 161°

∠u = 90°     (from 1)

∴∠t = 360° - (∠r+∠q+∠u)

        = 360° - (48°+161°+90°) = 61°

the correct answer is option (b)

b. 61°

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step-by-step explanation: my bad its long @sf but i just wanna break it down like a blunt and pass it like a blunt im so dead lm@

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered