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Constructions — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsConstructions1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer. An angle is $24^\circ$ more than its complement. The measure of the angle is:
  • A
    $47^\circ$
  • ✓
    $57^\circ$
  • C
    $53^\circ$
  • D
    $66^\circ$
✓

Answer

Correct option: B.
$57^\circ$
Let angle is $x$
Then its complement angle $= x - 24^\circ$
But $x + x - 24^\circ = 90^\circ$
$\Rightarrow 2x = 90^\circ + 24^\circ = 114^\circ$
$x = 57^\circ$
The required angle is $57^\circ$

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