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Show that ABC is a straight line in each of the following diagrams, given angles around point B.
Mathematics
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3 stepsHere are the solutions to the geometry problems:
b) Show that ABC is a straight line in each of the following diagrams:
- Diagram (1):
Identify the angles around point B on the line segment AC.
The angles are $\angle DBA = 49^\circ$, $\angle DBE = 90^\circ$ (indicated by the square symbol), and $\angle EBC = 41^\circ$.Sum these angles.
$$ \angle DBA + \angle DBE + \angle EBC = 49^\circ + 90^\circ + 41^\circ = 180^\circ $$Conclude.
Since
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