Question

angles a and b are vertical angles and angle b is a complementary angle with angle c
if angle a = 22 degrees write an equation that you can use to solve for angle c

Answer 1

Given that angles \( a \) and \( b \) are vertical angles, they are equal. Therefore, since \( a = 22^\circ \), we have:

\[
b = 22^\circ
\]

Next, since angle \( b \) is a complementary angle with angle \( c \), they add up to \( 90^\circ \). This gives us the equation:

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

Substituting the value of \( b \):

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

To solve for angle \( c \), we can rearrange the equation:

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

Thus, the equation to solve for angle \( c \) is:

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

Calculating this gives:

\[
c = 68^\circ
\]