Question
These 2 angles are supplementary. Find the measure of angle CBD.
What is true about supplementary angles?
D
C
A
B43º
Supplementary angles are a set of angles that have measures that add up to
degrees.
Excellent!
Now write an addition equation to help find the measure of angle CBD. Use y to represent angle CBD's measure in the equation.
D
C
A
Byº43º
+
=
What is true about supplementary angles?
D
C
A
B43º
Supplementary angles are a set of angles that have measures that add up to
degrees.
Excellent!
Now write an addition equation to help find the measure of angle CBD. Use y to represent angle CBD's measure in the equation.
D
C
A
Byº43º
+
=
Answers
GPT-4o mini
Supplementary angles are a pair of angles whose measures add up to 180 degrees.
To find the measure of angle CBD, you can set up the following addition equation, using \( y \) to represent the measure of angle CBD:
\[
y + 43^\circ = 180^\circ
\]
This equation states that the measure of angle CBD (y) plus the measure of angle A (43º) equals 180 degrees.
Now, to find the measure of angle CBD, you can solve for \( y \):
\[
y = 180^\circ - 43^\circ
\]
Calculating that gives:
\[
y = 137^\circ
\]
Therefore, the measure of angle CBD is **137 degrees**.
To find the measure of angle CBD, you can set up the following addition equation, using \( y \) to represent the measure of angle CBD:
\[
y + 43^\circ = 180^\circ
\]
This equation states that the measure of angle CBD (y) plus the measure of angle A (43º) equals 180 degrees.
Now, to find the measure of angle CBD, you can solve for \( y \):
\[
y = 180^\circ - 43^\circ
\]
Calculating that gives:
\[
y = 137^\circ
\]
Therefore, the measure of angle CBD is **137 degrees**.