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Lines and Angles — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSLines and Angles1 Mark
MCQ
Find the angle, which is $60^\circ $ more than its complement.
  • A
    $55$
  • ✓
    $75$
  • C
    $85$
  • D
    $60$
✓

Answer

Correct option: B.
$75$
Let the required angle be $x,$
then its complement $= (90 - x)$
Given that $x = (90 - x) + 60$
$\Rightarrow 2x = 150$
$\Rightarrow \text{x}=\frac{150}{2}$
$\Rightarrow\text{x}=75^\circ$

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