Question

The circle below has center T. Suppose that mUV=74° and that UW is tangent to the circle at U. find the following.(a) m

Answer 1

Solution

For this case we see that

m UV= 74º

We also can see that the triangle TUV is an isoceles triangle

And then we can set up the following equation:

74 +y+y = 180

2y +74= 180

2y= 106

y= 53º

m < VUW=53º

And then we can conclude that

m < UTV = 90-53= 37º