Question

5. One of the angles formed by two intersecting lines is of measure 500. Find other angles.

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Answer 1

Answer:

Let AB and CD be two lines Intersecting at O, such that, ∠AOD=90°  

 Now, ∠AOD=∠COB=90°  (Vertically opposite angles)

⟹∠AOD+∠DOB=180°   (Angles on a straight line)

⟹90+∠DOB=180°

 ∠DOB=90°  

 ∠DOB=∠AOC=90°    (Vertically opposite angles)

Thus, all angles are 90°   .

Step-by-step explanation: