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 \(\angle CB_1A_2?\)

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