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The supplement of an angle exceeds the angle itself by 46°. Find the angle.

Class 7Lines and AnglesLines and Angles
  • A67°
  • B113°
  • C134°
  • D23°

Step-by-Step Solution

Let the angle be , so its supplement is . Then → → → °. Check: supplement = 113°, and 113 − 67 = 46. Trap: 113° is the supplement — the other member of the pair, not the angle asked for; 134° is left un-halved.
Answer: A) 67°

Key idea: Solving 'find the angle' problems

Most Class-7 angle problems give you one or two angle measures and ask you to find an unknown one. The recipe:

1. Identify the relationship: vertically opposite? linear pair? corresponding? alternate?
2. Write an equation: equal-to or sum-to-180.
3. Solve for the unknown.
4. Mark it back on the diagram and sanity-check (acute should look acute, obtuse should look obtuse).

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