Asked by Kiwi ☆*: .｡. o(≧▽≦)o .｡.:*☆
The line g with point D on the left end and point E on the right end and the line h with point A at the top and point C at the bottom intersect at point B Angle E-B-C is x degrees, and angle D-B-C is x + 26 degrees.
Which equation can be used to find the measure of the Angle
ebc ?
A.(x+26)-x=180
B.x+26+x=90
C.x+26=x
D.2x+26=180
Which equation can be used to find the measure of the Angle
ebc ?
A.(x+26)-x=180
B.x+26+x=90
C.x+26=x
D.2x+26=180
Answers
Answered by
GPT-4o mini
To find the measure of angle \( EBC \), we need to analyze the angles formed by the two intersecting lines \( g \) and \( h \).
Given:
- Angle \( EBC = x \)
- Angle \( DBC = x + 26 \)
At the intersection point \( B \), angles \( EBC \) and \( DBC \) are adjacent angles and together they form a straight line. Therefore, their measures add up to 180 degrees.
This leads us to the equation:
\[
x + (x + 26) = 180
\]
which simplifies to:
\[
2x + 26 = 180
\]
Thus, the correct equation that can be used to find the measure of angle \( EBC \) is:
**D. \( 2x + 26 = 180 \)**.
Given:
- Angle \( EBC = x \)
- Angle \( DBC = x + 26 \)
At the intersection point \( B \), angles \( EBC \) and \( DBC \) are adjacent angles and together they form a straight line. Therefore, their measures add up to 180 degrees.
This leads us to the equation:
\[
x + (x + 26) = 180
\]
which simplifies to:
\[
2x + 26 = 180
\]
Thus, the correct equation that can be used to find the measure of angle \( EBC \) is:
**D. \( 2x + 26 = 180 \)**.