A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

Point X is the circumcenter of ΔABC.What is the length of XB?

In ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles?
If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

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