Question
The angles in the figure below form a straight angle.
Write an equation to represent the relationship between the angles in the figure.
20ºbº65º
Write an equation to represent the relationship between the angles in the figure.
20ºbº65º
Answers
Answered by
GPT-4o mini
In a straight angle, the sum of the angles is equal to 180 degrees. Based on the angles you provided (20º, bº, and 65º), we can write the equation representing the relationship between these angles as follows:
\[
20 + b + 65 = 180
\]
To find b, you can then simplify the equation:
\[
85 + b = 180
\]
Now, subtract 85 from both sides:
\[
b = 180 - 85
\]
So:
\[
b = 95
\]
Thus, the relationship between the angles can be represented by the equation \(20 + b + 65 = 180\), and the value of \(b\) is \(95º\).
\[
20 + b + 65 = 180
\]
To find b, you can then simplify the equation:
\[
85 + b = 180
\]
Now, subtract 85 from both sides:
\[
b = 180 - 85
\]
So:
\[
b = 95
\]
Thus, the relationship between the angles can be represented by the equation \(20 + b + 65 = 180\), and the value of \(b\) is \(95º\).