Symmetrical Spiky Polygon
Geometry
Level
1
The figure to the right consists of 6 straight lines. Suppose the following is known:
- \(|\overline{A_1B_1}| = |\overline{A_2B_2}|,\ |\overline{A_1B_2}| = |\overline{A_2B_1}|,\ \) and \(|\overline{B_1C}| = |\overline{B_2C}|.\)
- \(\overline{A_1B_1} \perp \overline{A_2B_1}\) and \(\overline{A_1B_2} \perp \overline{A_2B_2}.\)
- The three acute angles \(A_1, A_2,\) and \(C\) have congruent measures.
What is the measure of \(\angle CB_1A_2?\)
by
Michael Huang