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Linear Equations in One Variable — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLinear Equations in One Variable1 Mark
MCQ
Mark against the correct answer in the following: Two complementary angles differ by $10^\circ .$ The larger angle is:
  • ✓
    $60^\circ$
  • B
    $50^\circ$
  • C
    $64^\circ$
  • D
    $54^\circ$
✓

Answer

Correct option: A.
$60^\circ$
Let first angle $= x$
Then second $= 90^\circ - x$
$x - (90^\circ - x) = 10$
$\Rightarrow x - 90^\circ + x = 10^\circ $
$\Rightarrow 2x = 10^\circ + 90^\circ = 100^\circ $
$x = 50^\circ $
Second angle $= 90^\circ - 50^\circ = 40^\circ $
Larger angle $= 50^\circ $

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