Question
If angle c and d are supplementary, and the measure of angle d is 45, what is the measure of angle c
Answers
GPT-4o mini
If angles \( c \) and \( d \) are supplementary, that means their measures add up to \( 180^\circ \). Given that the measure of angle \( d \) is \( 45^\circ \), we can find the measure of angle \( c \) using the equation:
\[
c + d = 180^\circ
\]
Substituting the value of angle \( d \):
\[
c + 45^\circ = 180^\circ
\]
To find \( c \), subtract \( 45^\circ \) from both sides:
\[
c = 180^\circ - 45^\circ
\]
\[
c = 135^\circ
\]
Thus, the measure of angle \( c \) is \( 135^\circ \).
\[
c + d = 180^\circ
\]
Substituting the value of angle \( d \):
\[
c + 45^\circ = 180^\circ
\]
To find \( c \), subtract \( 45^\circ \) from both sides:
\[
c = 180^\circ - 45^\circ
\]
\[
c = 135^\circ
\]
Thus, the measure of angle \( c \) is \( 135^\circ \).