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Lines And Angles — Maths STD 9 — Question

CBSE BoardEnglish MediumSTD 9MathsLines And Angles1 Mark
MCQ
The measure of an angle which excends its complement by $30^{\circ}$ is
  • A
    $150^{\circ}$
  • B
    $120^{\circ}$
  • C
    $60^{\circ}$
  • D
    $80^{\circ}$
✓

Answer

C. $60^{\circ}$
 Let the measure of the required angle be $x^{\circ}$. Then, the measure of its complement is $90^{\circ}-x^{\circ}$. It is given that
$
x-(90-x)=30 \Rightarrow 2 x=120 \Rightarrow x=60
$

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