Jennif102
Could someone please explain to me question 380 on pg. 126 in the Official Guide? I have no idea how in the world they get 70 degrees for the corresponding arc to the angle that is 35 degrees.
It's driving me nuts! Thx in advance
Jenny real simple. Refer to the crudely drawn diagram below.
Rembember that any triangle that is inscribed in a circle is a right triangle (has one 90 degree angle). Thus if you draw out an inscribed triangle and split it in half (meaning draw another radius to form another triangle) you have 2 isoceles triangles. From there you can see why 70 must be the degree measure. It's useful to remember that a vertice inside a vertice in an inscribed triangle is always 2x the value of the outside vertice. when given problems like these, it's useful to draw extra lines to fill in the gaps. hope this helps you jenni.
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