Angle theorems: SAT, CAT, OAT, SAAT

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Learn it SAT: angles on a straight line add to 180°. CAT: complementary angles add to 90°. OAT: vertically opposite angles are equal. SAAT: angles around a point add to 360°.

Example: Two lines cross; one angle is (3x + 10)° and the angle next to it is (2x)°. Find x.

The angles are on a straight line, so SAT: $3x + 10 + 2x = 180$.
$5x = 170$.
$x = 34$.

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