Answer:
measure of angle 2 is 32 degrees.
Step-by-step explanation:
I will refer to the measure of the angles as m1 and m2 (I don't have the angle symbol on my keyboard).
we are looking for measure of angle 2, so let's call m2 "x".
so,
m2 = (x)
m1 = (48 + m2) or m1 = (48 + x)
and we know that:
m1 + m2 = 112
so we substitute the values above into the equation.
m1 + m2 = 112
(48 + x) + (x) = 112
combine like terms:
42 + x + x = 112
42 + 2x = 112
subtract 42 from both sides, leaving us with
2x = 64
divide by 2, giving us
x = 32
remember that we are looking for m2, which is x, so m2 is 32 degrees. hope this helped! (:
