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Two complementary angles are such that one of them is 6 degrees less than twice the other. Find the SMALLER angle (in degrees).

Class 8Linear Equations in One VariableLinear Equations
  • A58
  • B62
  • C48
  • D32

Step-by-Step Solution

Complementary angles add to 90. Let the smaller be , so the other is → → . Check: 32 + 58 = 90 and . The trap 58 is the larger angle; using 180 instead of 90 (confusing complementary with supplementary) gives 62.
Answer: D) 32

Key idea: Variable on both sides

When appears on both sides, decide which side will keep it (typically the one with the larger coefficient — saves a sign flip). Move the other to that side, sign-flipped.

Example: .

- Move left: → .
- Move −3 right: .
- Divide: .

Verify: ; . ✓

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