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Answer:

59 degrees

Step-by-step explanation:

These two are complementary angles, meaning that they add up to 90 degrees. If PBE if 31 degrees, then that means that ABE is 59 degrees because these two angles add up to 90 degrees.

Step-by-step explanation:

PB is radius and AC is tangent at B.

[tex]\therefore \angle PBA = 90° ...(1)\\ \because \: \angle PBA = \angle PBE + \angle ABE ...(2)\\ from \: (1) \: \: and \: \: (2) \\ \angle PBE + \angle ABE = 90° \\ 31° + \angle ABE = 90° \\ \angle ABE = 90° - 31° \\ \huge \purple { \boxed{ \therefore \: \angle ABE = 59° }}[/tex]

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