Question

a and b are complementary angles. a measures 22 degrees
what is the measure of b?

(you know the math symbol sign that kinda looks like this "<", that's what on the letters)

Answers

GPT-4o mini
If \( a \) and \( b \) are complementary angles, then the sum of their measures is \( 90^\circ \). Given that \( a \) measures \( 22^\circ \), we can determine the measure of \( b \) using the following equation:

\[
a + b = 90^\circ
\]

Substituting the value of \( a \):

\[
22^\circ + b = 90^\circ
\]

To find \( b \), subtract \( 22^\circ \) from both sides:

\[
b = 90^\circ - 22^\circ
\]

Calculating this gives:

\[
b = 68^\circ
\]

So, the measure of angle \( b \) is \( 68^\circ \).