Question

Point Z is the circumcenter of ΔTUV.

Point Z is the circumcenter of triangle T U V. Lines are drawn from each point of the triangle to point Z. Lines are drawn from point Z to each side to form right angles and line segments Z A, Z B, and Z C. The line segments cut the sides into 2 equal parts. Angle Z T B is 32.8 degrees and angle B Z U is 57.2 degrees.
What is mAngleZUB?

23.7°
32.8°
33.5°
57.2°

Answer 1

32.8°

Reason: Z is the circumcenter so ZB is the perpendicular bisector of TU, hence B is the midpoint of TU and T and U are symmetric across ZB. Therefore ∠ZUB = ∠ZTB = 32.8°.