<p>The theories of photoelectric emission PEE from metals farther away <i>f</i>₀ and at an incident angle <i>β</i> range of 0° &lt; <i>β</i> &lt; 90° and the universal formulas for <i>Aqe</i> at <i>β</i> range of 0° ≤ <i>β</i> &lt; 90° were deduced, respectively; <i>f</i>₀ denotes threshold frequency, <i>Aqe</i> denotes absolute quantum efficiency; And the theories of PEE from metals near <i>f</i>₀ and at <i>β</i> = 0° and those of PEE from metals near <i>f</i>₀ and at <i>β</i> range of 0° &lt; <i>β</i> &lt; 90° were also developed, respectively. The theories developed here were analyzed and compared with experimental results, it concludes that theories of PEE from metals near <i>f</i>₀ and at <i>β</i> = 0° were experimentally proven, and that the deduced formulas for <i>Aqe</i> and the theories of PEE from metals at <i>β</i> range of 0° &lt; <i>β</i> &lt; 90° and farther away or near <i>f</i>₀ are theoretically correct.</p>