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Two complementary angles are in the ratio 2 : 3. Find the smaller angle (in degrees).

Class 7Lines and AnglesLines and Angles
  • A32
  • B72
  • C36
  • D40

Step-by-Step Solution

Let the angles be and → → . Smaller = °.
Answer: C) 36

Key idea: Complementary and supplementary

Two angles are **complementary** if they add to 90°. So if one is 35°, the complement is 90° − 35° = 55°.

Two angles are **supplementary** if they add to 180°. So if one is 110°, the supplement is 180° − 110° = 70°.

The angles don't have to be next to each other — only their measures matter.

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