Question
Angle c and angle d are supplementary angles. Find the measure of angle d.
Angle c and angle d are supplementary angles. Write an equation to represent the relationship between angle c and angle d.
aºbºcºdºeº
You got it!
You're trying to find the measure of angle d. What value can you subtract from each side of the equation to have d remaining on the left?
aºbºc = 45ºdºeº
45+d
=
180
−
−
Angle c and angle d are supplementary angles. Write an equation to represent the relationship between angle c and angle d.
aºbºcºdºeº
You got it!
You're trying to find the measure of angle d. What value can you subtract from each side of the equation to have d remaining on the left?
aºbºc = 45ºdºeº
45+d
=
180
−
−
Answers
GPT-4o mini
To find the measure of angle \( d \), we start with the definition of supplementary angles: two angles are supplementary if their measures add up to \( 180^\circ \).
Let the measure of angle \( c \) be \( c \) degrees and the measure of angle \( d \) be \( d \) degrees. Since they are supplementary, we can write the equation:
\[
c + d = 180^\circ
\]
Now, if you have a specific measure for angle \( c \), let’s say \( c = 45^\circ \), we can substitute this value into the equation:
\[
45^\circ + d = 180^\circ
\]
To isolate \( d \), we can subtract \( 45^\circ \) from both sides:
\[
d = 180^\circ - 45^\circ
\]
\[
d = 135^\circ
\]
Therefore, the measure of angle \( d \) is \( 135^\circ \).
Let the measure of angle \( c \) be \( c \) degrees and the measure of angle \( d \) be \( d \) degrees. Since they are supplementary, we can write the equation:
\[
c + d = 180^\circ
\]
Now, if you have a specific measure for angle \( c \), let’s say \( c = 45^\circ \), we can substitute this value into the equation:
\[
45^\circ + d = 180^\circ
\]
To isolate \( d \), we can subtract \( 45^\circ \) from both sides:
\[
d = 180^\circ - 45^\circ
\]
\[
d = 135^\circ
\]
Therefore, the measure of angle \( d \) is \( 135^\circ \).