If Two Angles Form A Linear Pair Then They Are - Here, ∠xoz and ∠yoz are congruent angles (m∠xoz = m∠yoz). ⇒ ∠xoz + ∠xoz = 180°. To understand this theorem, let’s first define what a linear pair is. Since the two angles form a linear pair, they must add up to 180 degrees. Since they form a linear pair, we have ∠xoz + ∠yoz = 180°. ⇒ ∠xoz = ∠yoz = 90°. Therefore, we can set up the equation x + (x + 40) = 180. Such angles are always supplementary. Solving for x gives us x = 70. In other words, the two angles are adjacent and add up to 180 degrees.
Solving for x gives us x = 70. ⇒ ∠xoz = ∠yoz = 90°. Therefore, we can set up the equation x + (x + 40) = 180. Here, ∠xoz and ∠yoz are congruent angles (m∠xoz = m∠yoz). Such angles are always supplementary. Web the linear pair theorem states that if two angles form a linear pair, then their measures add up to 180 degrees. Since they form a linear pair, we have ∠xoz + ∠yoz = 180°. Since the two angles form a linear pair, they must add up to 180 degrees. To understand this theorem, let’s first define what a linear pair is. Web the linear pair perpendicular theorem states that if two angles of a linear pair are congruent, the lines are perpendicular. ⇒ ∠xoz + ∠xoz = 180°. To understand why linear pairs result in supplementary angles, let’s consider an example. In other words, the two angles are adjacent and add up to 180 degrees. Let us verify this with the following figure, as shown: