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Two complementary angles measure ° and °. Find the larger angle.

Class 7Simple EquationsSimple Equations
  • A20°
  • B34°
  • C70°
  • D56°

Step-by-Step Solution

Complementary angles add to 90°: → → → . The angles are 34° and 56°, and 34 + 56 = 90 ✓, so the larger is 56°. Picking 20° answers with instead of an angle — the classic slip in this type; 34° is the smaller angle, and 70° comes from working out 90 − 20.
Answer: D) 56°

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let = the number. Equation: . Solve: .
Answer: the number is 5.

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