m∠ 1=70^(∘) (Vertical Angles Congruence Theorem)
m∠ 2=110^(∘) (70^(∘) and ∠ 2 form a linear pair)
Practice makes perfect
Let's take a look at the given diagram.
To find m∠ 1, we can use the fact that ∠ 1 and 70^(∘) are corresponding angles. Since the lines that are cut by the transversal are parallel, 70^(∘) and ∠ 1 are congruent by the Corresponding Angles Theorem.
m∠ 1=70^(∘)
To find m∠ 2, we can use the fact that 70^(∘) and ∠ 2 form a linear pair. Since angles forming a linear pair are supplementary, their measures have to add to 180^(∘).
70+m∠ 2 = 180 ⇒ m∠ 2 = 110
