Segment and Angle Proofs Flashcard

The Angle Addition Postulate states that if point B is in the interior of angle AOC, then $$\text{m}\angle AOB + \text{m}\angle BOC = \text{m}\angle AOC$$ .

$$x = 10$$ .

The left column contains the 'Statements' of the proof.

The Segment Addition Postulate states that if point B is between points A and C, then $$AB + BC = AC$$ .

Set up the equation: $$3x + 2 + 2x - 1 = 5x + 1$$ and solve for $$x$$ .

A two-column proof is a method of proving statements in geometry where one column lists statements and the other lists corresponding reasons.

$$\text{m}\angle ABD = 75^\text{circ}$$ .

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Complementary angles are two angles whose measures add up to $$90^\text{circ}$$ .

Supplementary angles are two angles whose measures add up to $$180^\text{circ}$$ .