Show that ABC is a straight line in each of the following diagrams, given angles around point B.

April 8, 2026Mathematics

ScanSolve AI Answer

April 8, 2026

Answer

49^\circ + 90^\circ + 41^\circ = 180^\circ $$

Here are the solutions to the geometry problems:

b) Show that ABC is a straight line in each of the following diagrams:

Diagram (1): Step 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 $\angle EBC = 41^\circ$ . Step 2: Sum these angles. $\angle DBA + \angle DBE + \angle EBC = 49^\circ + 90^\circ + 41^\circ = 180^\circ$ Step 3: Conclude. Since

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b) Show that ABC is a straight line in each of the following diagrams: Diagram (1): Step 1: Identify the angles around point B on the line segment AC.

Asked on April 8, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 8, 2026

Here are the solutions to the geometry problems: b) Show that ABC is a straight line in each of the following diagrams: Diagram (1): Step 1: Identify the angles around point B on the line segment AC. The angles are DBA = 49^, DBE = 90^ (indicated by the square symbol), and EBC = 41^. Step 2: Sum these angles. DBA + DBE + EBC = 49^ + 90^ + 41^ = 180^ Step 3: Conclude. Since