avery2020
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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

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 class=

Respuesta :

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

[tex]138+x+x=180 \iff 2x=42 \iff x=21[/tex]

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

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