Question

two angles join to form a 80 degree angle the first angle measures 45° what is the measure of the second angle

Answer 1

ANSWER

The measure of the second angle is 35º

EXPLANATION

By the angle addition postulate, we know that if two angles form a bigger angle, the measure of the bigger angle is the sum of the measures of the two angles:

$m\angle ABC=m\angle ABD+m\angle DBC$

For this problem we have:

$80º=45º+x$

Where x is the missing angle:

$\begin{gathered} x=80º-45º \\ x=35º \end{gathered}$